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Finding the Fourth Proportional to 22,098.29, 33,144.14 and 7,307.28

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Solution

The fourth proportional to 22,098.29, 33,144.14 and 7,307.28 is: 10,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.29 : 33,144.14 = 7,307.28 : x
  2. Step 2: Convert to fraction form
    22,098.29/33,144.14 = 7,307.28/x
  3. Step 3: Cross multiply
    22,098.29x = 33,144.14 × 7,307.28
  4. Step 4: Simplify right side
    22,098.29x = 242,193,653.90
  5. Step 5: Solve for x
    x = 242,193,653.90/22,098.29
  6. Step 6: Final answer
    x = 10,959.84

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.