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Finding the Fourth Proportional to 9,961.76, 14,952.72 and 6,664.16

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Solution

The fourth proportional to 9,961.76, 14,952.72 and 6,664.16 is: 10,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.76 : 14,952.72 = 6,664.16 : x
  2. Step 2: Convert to fraction form
    9,961.76/14,952.72 = 6,664.16/x
  3. Step 3: Cross multiply
    9,961.76x = 14,952.72 × 6,664.16
  4. Step 4: Simplify right side
    9,961.76x = 99,647,318.52
  5. Step 5: Solve for x
    x = 99,647,318.52/9,961.76
  6. Step 6: Final answer
    x = 10,002.98

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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.