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Finding the Fourth Proportional to 8,697.90, 13,046.15 and 2,457.66

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Solution

The fourth proportional to 8,697.90, 13,046.15 and 2,457.66 is: 3,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.90 : 13,046.15 = 2,457.66 : x
  2. Step 2: Convert to fraction form
    8,697.90/13,046.15 = 2,457.66/x
  3. Step 3: Cross multiply
    8,697.90x = 13,046.15 × 2,457.66
  4. Step 4: Simplify right side
    8,697.90x = 32,063,007.15
  5. Step 5: Solve for x
    x = 32,063,007.15/8,697.90
  6. Step 6: Final answer
    x = 3,686.29

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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.