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Finding the Fourth Proportional to 9,974.88, 14,963.04 and 4,132.80

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Solution

The fourth proportional to 9,974.88, 14,963.04 and 4,132.80 is: 6,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.88 : 14,963.04 = 4,132.80 : x
  2. Step 2: Convert to fraction form
    9,974.88/14,963.04 = 4,132.80/x
  3. Step 3: Cross multiply
    9,974.88x = 14,963.04 × 4,132.80
  4. Step 4: Simplify right side
    9,974.88x = 61,839,251.71
  5. Step 5: Solve for x
    x = 61,839,251.71/9,974.88
  6. Step 6: Final answer
    x = 6,199.50

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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.