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Finding the Fourth Proportional to 9,965.98, 14,951.32 and 5,586.46

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Solution

The fourth proportional to 9,965.98, 14,951.32 and 5,586.46 is: 8,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.98 : 14,951.32 = 5,586.46 : x
  2. Step 2: Convert to fraction form
    9,965.98/14,951.32 = 5,586.46/x
  3. Step 3: Cross multiply
    9,965.98x = 14,951.32 × 5,586.46
  4. Step 4: Simplify right side
    9,965.98x = 83,524,951.13
  5. Step 5: Solve for x
    x = 83,524,951.13/9,965.98
  6. Step 6: Final answer
    x = 8,381.01

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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.