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Finding the Fourth Proportional to 9,534.50, 14,285.07 and 6,614.66

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Solution

The fourth proportional to 9,534.50, 14,285.07 and 6,614.66 is: 9,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.50 : 14,285.07 = 6,614.66 : x
  2. Step 2: Convert to fraction form
    9,534.50/14,285.07 = 6,614.66/x
  3. Step 3: Cross multiply
    9,534.50x = 14,285.07 × 6,614.66
  4. Step 4: Simplify right side
    9,534.50x = 94,490,881.13
  5. Step 5: Solve for x
    x = 94,490,881.13/9,534.50
  6. Step 6: Final answer
    x = 9,910.42

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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.