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Finding the Fourth Proportional to 10,714.68, 14,784.49 and 6,732.97

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Solution

The fourth proportional to 10,714.68, 14,784.49 and 6,732.97 is: 9,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.68 : 14,784.49 = 6,732.97 : x
  2. Step 2: Convert to fraction form
    10,714.68/14,784.49 = 6,732.97/x
  3. Step 3: Cross multiply
    10,714.68x = 14,784.49 × 6,732.97
  4. Step 4: Simplify right side
    10,714.68x = 99,543,527.64
  5. Step 5: Solve for x
    x = 99,543,527.64/10,714.68
  6. Step 6: Final answer
    x = 9,290.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.