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Finding the Fourth Proportional to 6,951.57, 10,424.12 and 4,030.71

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Solution

The fourth proportional to 6,951.57, 10,424.12 and 4,030.71 is: 6,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.57 : 10,424.12 = 4,030.71 : x
  2. Step 2: Convert to fraction form
    6,951.57/10,424.12 = 4,030.71/x
  3. Step 3: Cross multiply
    6,951.57x = 10,424.12 × 4,030.71
  4. Step 4: Simplify right side
    6,951.57x = 42,016,584.57
  5. Step 5: Solve for x
    x = 42,016,584.57/6,951.57
  6. Step 6: Final answer
    x = 6,044.19

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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.