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Finding the Fourth Proportional to 10,704.52, 14,773.97 and 6,726.22

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Solution

The fourth proportional to 10,704.52, 14,773.97 and 6,726.22 is: 9,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.52 : 14,773.97 = 6,726.22 : x
  2. Step 2: Convert to fraction form
    10,704.52/14,773.97 = 6,726.22/x
  3. Step 3: Cross multiply
    10,704.52x = 14,773.97 × 6,726.22
  4. Step 4: Simplify right side
    10,704.52x = 99,372,972.49
  5. Step 5: Solve for x
    x = 99,372,972.49/10,704.52
  6. Step 6: Final answer
    x = 9,283.27

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1.5x scale

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.