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Finding the Fourth Proportional to 9,974.02, 14,963.81 and 4,352.19

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Solution

The fourth proportional to 9,974.02, 14,963.81 and 4,352.19 is: 6,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.02 : 14,963.81 = 4,352.19 : x
  2. Step 2: Convert to fraction form
    9,974.02/14,963.81 = 4,352.19/x
  3. Step 3: Cross multiply
    9,974.02x = 14,963.81 × 4,352.19
  4. Step 4: Simplify right side
    9,974.02x = 65,125,344.24
  5. Step 5: Solve for x
    x = 65,125,344.24/9,974.02
  6. Step 6: Final answer
    x = 6,529.50

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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.