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Finding the Fourth Proportional to 11,959.38, 16,503.12 and 6,654.42

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Solution

The fourth proportional to 11,959.38, 16,503.12 and 6,654.42 is: 9,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.38 : 16,503.12 = 6,654.42 : x
  2. Step 2: Convert to fraction form
    11,959.38/16,503.12 = 6,654.42/x
  3. Step 3: Cross multiply
    11,959.38x = 16,503.12 × 6,654.42
  4. Step 4: Simplify right side
    11,959.38x = 109,818,691.79
  5. Step 5: Solve for x
    x = 109,818,691.79/11,959.38
  6. Step 6: Final answer
    x = 9,182.64

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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.