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Finding the Fourth Proportional to 9,472.92, 13,071.12 and 5,281.20

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Solution

The fourth proportional to 9,472.92, 13,071.12 and 5,281.20 is: 7,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.92 : 13,071.12 = 5,281.20 : x
  2. Step 2: Convert to fraction form
    9,472.92/13,071.12 = 5,281.20/x
  3. Step 3: Cross multiply
    9,472.92x = 13,071.12 × 5,281.20
  4. Step 4: Simplify right side
    9,472.92x = 69,031,198.94
  5. Step 5: Solve for x
    x = 69,031,198.94/9,472.92
  6. Step 6: Final answer
    x = 7,287.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.