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Finding the Fourth Proportional to 16,294.86, 22,486.71 and 9,221.10

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Solution

The fourth proportional to 16,294.86, 22,486.71 and 9,221.10 is: 12,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.86 : 22,486.71 = 9,221.10 : x
  2. Step 2: Convert to fraction form
    16,294.86/22,486.71 = 9,221.10/x
  3. Step 3: Cross multiply
    16,294.86x = 22,486.71 × 9,221.10
  4. Step 4: Simplify right side
    16,294.86x = 207,352,201.58
  5. Step 5: Solve for x
    x = 207,352,201.58/16,294.86
  6. Step 6: Final answer
    x = 12,725.01

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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.