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Finding the Fourth Proportional to 9,701.44, 14,552.16 and 7,757.44

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Solution

The fourth proportional to 9,701.44, 14,552.16 and 7,757.44 is: 11,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.44 : 14,552.16 = 7,757.44 : x
  2. Step 2: Convert to fraction form
    9,701.44/14,552.16 = 7,757.44/x
  3. Step 3: Cross multiply
    9,701.44x = 14,552.16 × 7,757.44
  4. Step 4: Simplify right side
    9,701.44x = 112,887,508.07
  5. Step 5: Solve for x
    x = 112,887,508.07/9,701.44
  6. Step 6: Final answer
    x = 11,636.16

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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.