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Finding the Fourth Proportional to 6,617.72, 9,931.38 and 2,458.32

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Solution

The fourth proportional to 6,617.72, 9,931.38 and 2,458.32 is: 3,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.72 : 9,931.38 = 2,458.32 : x
  2. Step 2: Convert to fraction form
    6,617.72/9,931.38 = 2,458.32/x
  3. Step 3: Cross multiply
    6,617.72x = 9,931.38 × 2,458.32
  4. Step 4: Simplify right side
    6,617.72x = 24,414,510.08
  5. Step 5: Solve for x
    x = 24,414,510.08/6,617.72
  6. Step 6: Final answer
    x = 3,689.26

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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.