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Finding the Fourth Proportional to 10,572.74, 14,566.88 and 6,981.30

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Solution

The fourth proportional to 10,572.74, 14,566.88 and 6,981.30 is: 9,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.74 : 14,566.88 = 6,981.30 : x
  2. Step 2: Convert to fraction form
    10,572.74/14,566.88 = 6,981.30/x
  3. Step 3: Cross multiply
    10,572.74x = 14,566.88 × 6,981.30
  4. Step 4: Simplify right side
    10,572.74x = 101,695,759.34
  5. Step 5: Solve for x
    x = 101,695,759.34/10,572.74
  6. Step 6: Final answer
    x = 9,618.68

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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.