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Finding the Fourth Proportional to 16,566.68, 22,862.66 and 9,494.48

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Solution

The fourth proportional to 16,566.68, 22,862.66 and 9,494.48 is: 13,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.68 : 22,862.66 = 9,494.48 : x
  2. Step 2: Convert to fraction form
    16,566.68/22,862.66 = 9,494.48/x
  3. Step 3: Cross multiply
    16,566.68x = 22,862.66 × 9,494.48
  4. Step 4: Simplify right side
    16,566.68x = 217,068,906.33
  5. Step 5: Solve for x
    x = 217,068,906.33/16,566.68
  6. Step 6: Final answer
    x = 13,102.74

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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.