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Finding the Fourth Proportional to 27,221, 40,836.76 and 9,452.30

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Solution

The fourth proportional to 27,221, 40,836.76 and 9,452.30 is: 14,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221 : 40,836.76 = 9,452.30 : x
  2. Step 2: Convert to fraction form
    27,221/40,836.76 = 9,452.30/x
  3. Step 3: Cross multiply
    27,221x = 40,836.76 × 9,452.30
  4. Step 4: Simplify right side
    27,221x = 386,001,306.55
  5. Step 5: Solve for x
    x = 386,001,306.55/27,221
  6. Step 6: Final answer
    x = 14,180.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.