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Finding the Fourth Proportional to 7,246.47, 10,865.02 and 2,314.47

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Solution

The fourth proportional to 7,246.47, 10,865.02 and 2,314.47 is: 3,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.47 : 10,865.02 = 2,314.47 : x
  2. Step 2: Convert to fraction form
    7,246.47/10,865.02 = 2,314.47/x
  3. Step 3: Cross multiply
    7,246.47x = 10,865.02 × 2,314.47
  4. Step 4: Simplify right side
    7,246.47x = 25,146,702.73
  5. Step 5: Solve for x
    x = 25,146,702.73/7,246.47
  6. Step 6: Final answer
    x = 3,470.20

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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.