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Finding the Fourth Proportional to 7,013.66, 9,691.66 and 6,005.18

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Solution

The fourth proportional to 7,013.66, 9,691.66 and 6,005.18 is: 8,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.66 : 9,691.66 = 6,005.18 : x
  2. Step 2: Convert to fraction form
    7,013.66/9,691.66 = 6,005.18/x
  3. Step 3: Cross multiply
    7,013.66x = 9,691.66 × 6,005.18
  4. Step 4: Simplify right side
    7,013.66x = 58,200,162.80
  5. Step 5: Solve for x
    x = 58,200,162.80/7,013.66
  6. Step 6: Final answer
    x = 8,298.12

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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.