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Finding the Fourth Proportional to 8,642.17, 12,963.84 and 3,448

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Solution

The fourth proportional to 8,642.17, 12,963.84 and 3,448 is: 5,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.17 : 12,963.84 = 3,448 : x
  2. Step 2: Convert to fraction form
    8,642.17/12,963.84 = 3,448/x
  3. Step 3: Cross multiply
    8,642.17x = 12,963.84 × 3,448
  4. Step 4: Simplify right side
    8,642.17x = 44,699,320.32
  5. Step 5: Solve for x
    x = 44,699,320.32/8,642.17
  6. Step 6: Final answer
    x = 5,172.23

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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.