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Finding the Fourth Proportional to 16,562.70, 22,856.63 and 9,009.10

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Solution

The fourth proportional to 16,562.70, 22,856.63 and 9,009.10 is: 12,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.70 : 22,856.63 = 9,009.10 : x
  2. Step 2: Convert to fraction form
    16,562.70/22,856.63 = 9,009.10/x
  3. Step 3: Cross multiply
    16,562.70x = 22,856.63 × 9,009.10
  4. Step 4: Simplify right side
    16,562.70x = 205,917,665.33
  5. Step 5: Solve for x
    x = 205,917,665.33/16,562.70
  6. Step 6: Final answer
    x = 12,432.61

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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.