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Finding the Fourth Proportional to 10,552.92, 14,562.86 and 5,772.74

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Solution

The fourth proportional to 10,552.92, 14,562.86 and 5,772.74 is: 7,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.92 : 14,562.86 = 5,772.74 : x
  2. Step 2: Convert to fraction form
    10,552.92/14,562.86 = 5,772.74/x
  3. Step 3: Cross multiply
    10,552.92x = 14,562.86 × 5,772.74
  4. Step 4: Simplify right side
    10,552.92x = 84,067,502.76
  5. Step 5: Solve for x
    x = 84,067,502.76/10,552.92
  6. Step 6: Final answer
    x = 7,966.28

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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.