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Finding the Fourth Proportional to 6,358.94, 9,531 and 2,407.68

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Solution

The fourth proportional to 6,358.94, 9,531 and 2,407.68 is: 3,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.94 : 9,531 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    6,358.94/9,531 = 2,407.68/x
  3. Step 3: Cross multiply
    6,358.94x = 9,531 × 2,407.68
  4. Step 4: Simplify right side
    6,358.94x = 22,947,598.08
  5. Step 5: Solve for x
    x = 22,947,598.08/6,358.94
  6. Step 6: Final answer
    x = 3,608.72

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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.