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Finding the Fourth Proportional to 8,684.01, 13,032.24 and 6,498.53

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Solution

The fourth proportional to 8,684.01, 13,032.24 and 6,498.53 is: 9,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.01 : 13,032.24 = 6,498.53 : x
  2. Step 2: Convert to fraction form
    8,684.01/13,032.24 = 6,498.53/x
  3. Step 3: Cross multiply
    8,684.01x = 13,032.24 × 6,498.53
  4. Step 4: Simplify right side
    8,684.01x = 84,690,398.50
  5. Step 5: Solve for x
    x = 84,690,398.50/8,684.01
  6. Step 6: Final answer
    x = 9,752.45

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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.