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Finding the Fourth Proportional to 6,398.68, 9,594.06 and 2,498.50

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Solution

The fourth proportional to 6,398.68, 9,594.06 and 2,498.50 is: 3,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.68 : 9,594.06 = 2,498.50 : x
  2. Step 2: Convert to fraction form
    6,398.68/9,594.06 = 2,498.50/x
  3. Step 3: Cross multiply
    6,398.68x = 9,594.06 × 2,498.50
  4. Step 4: Simplify right side
    6,398.68x = 23,970,758.91
  5. Step 5: Solve for x
    x = 23,970,758.91/6,398.68
  6. Step 6: Final answer
    x = 3,746.20

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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.