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Finding the Fourth Proportional to 6,367.32, 9,557.46 and 4,280.76

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Solution

The fourth proportional to 6,367.32, 9,557.46 and 4,280.76 is: 6,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.32 : 9,557.46 = 4,280.76 : x
  2. Step 2: Convert to fraction form
    6,367.32/9,557.46 = 4,280.76/x
  3. Step 3: Cross multiply
    6,367.32x = 9,557.46 × 4,280.76
  4. Step 4: Simplify right side
    6,367.32x = 40,913,192.47
  5. Step 5: Solve for x
    x = 40,913,192.47/6,367.32
  6. Step 6: Final answer
    x = 6,425.50

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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.