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Finding the Fourth Proportional to 10,572, 14,550.52 and 9,062.97

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Solution

The fourth proportional to 10,572, 14,550.52 and 9,062.97 is: 12,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 14,550.52 = 9,062.97 : x
  2. Step 2: Convert to fraction form
    10,572/14,550.52 = 9,062.97/x
  3. Step 3: Cross multiply
    10,572x = 14,550.52 × 9,062.97
  4. Step 4: Simplify right side
    10,572x = 131,870,926.24
  5. Step 5: Solve for x
    x = 131,870,926.24/10,572
  6. Step 6: Final answer
    x = 12,473.60

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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.