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Finding the Fourth Proportional to 10,760.92, 14,842.68 and 7,397.80

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Solution

The fourth proportional to 10,760.92, 14,842.68 and 7,397.80 is: 10,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.92 : 14,842.68 = 7,397.80 : x
  2. Step 2: Convert to fraction form
    10,760.92/14,842.68 = 7,397.80/x
  3. Step 3: Cross multiply
    10,760.92x = 14,842.68 × 7,397.80
  4. Step 4: Simplify right side
    10,760.92x = 109,803,178.10
  5. Step 5: Solve for x
    x = 109,803,178.10/10,760.92
  6. Step 6: Final answer
    x = 10,203.88

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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.