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Finding the Fourth Proportional to 9,687, 14,530.64 and 2,761.50

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Solution

The fourth proportional to 9,687, 14,530.64 and 2,761.50 is: 4,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687 : 14,530.64 = 2,761.50 : x
  2. Step 2: Convert to fraction form
    9,687/14,530.64 = 2,761.50/x
  3. Step 3: Cross multiply
    9,687x = 14,530.64 × 2,761.50
  4. Step 4: Simplify right side
    9,687x = 40,126,348.55
  5. Step 5: Solve for x
    x = 40,126,348.55/9,687
  6. Step 6: Final answer
    x = 4,142.29

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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.