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Finding the Fourth Proportional to 9,876.84, 13,630.19 and 6,691.11

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Solution

The fourth proportional to 9,876.84, 13,630.19 and 6,691.11 is: 9,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.84 : 13,630.19 = 6,691.11 : x
  2. Step 2: Convert to fraction form
    9,876.84/13,630.19 = 6,691.11/x
  3. Step 3: Cross multiply
    9,876.84x = 13,630.19 × 6,691.11
  4. Step 4: Simplify right side
    9,876.84x = 91,201,067.16
  5. Step 5: Solve for x
    x = 91,201,067.16/9,876.84
  6. Step 6: Final answer
    x = 9,233.83

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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.