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Finding the Fourth Proportional to 10,370.66, 14,252.50 and 9,714.56

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Solution

The fourth proportional to 10,370.66, 14,252.50 and 9,714.56 is: 13,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.66 : 14,252.50 = 9,714.56 : x
  2. Step 2: Convert to fraction form
    10,370.66/14,252.50 = 9,714.56/x
  3. Step 3: Cross multiply
    10,370.66x = 14,252.50 × 9,714.56
  4. Step 4: Simplify right side
    10,370.66x = 138,456,766.40
  5. Step 5: Solve for x
    x = 138,456,766.40/10,370.66
  6. Step 6: Final answer
    x = 13,350.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.