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Finding the Fourth Proportional to 9,216.30, 13,824.45 and 7,029.30

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Solution

The fourth proportional to 9,216.30, 13,824.45 and 7,029.30 is: 10,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.30 : 13,824.45 = 7,029.30 : x
  2. Step 2: Convert to fraction form
    9,216.30/13,824.45 = 7,029.30/x
  3. Step 3: Cross multiply
    9,216.30x = 13,824.45 × 7,029.30
  4. Step 4: Simplify right side
    9,216.30x = 97,176,206.39
  5. Step 5: Solve for x
    x = 97,176,206.39/9,216.30
  6. Step 6: Final answer
    x = 10,543.95

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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.