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Finding the Fourth Proportional to 16,464.74, 22,721.85 and 9,294.75

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Solution

The fourth proportional to 16,464.74, 22,721.85 and 9,294.75 is: 12,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.74 : 22,721.85 = 9,294.75 : x
  2. Step 2: Convert to fraction form
    16,464.74/22,721.85 = 9,294.75/x
  3. Step 3: Cross multiply
    16,464.74x = 22,721.85 × 9,294.75
  4. Step 4: Simplify right side
    16,464.74x = 211,193,915.29
  5. Step 5: Solve for x
    x = 211,193,915.29/16,464.74
  6. Step 6: Final answer
    x = 12,827.04

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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.