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Finding the Fourth Proportional to 6,909.60, 9,553.68 and 6,034.80

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Solution

The fourth proportional to 6,909.60, 9,553.68 and 6,034.80 is: 8,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.60 : 9,553.68 = 6,034.80 : x
  2. Step 2: Convert to fraction form
    6,909.60/9,553.68 = 6,034.80/x
  3. Step 3: Cross multiply
    6,909.60x = 9,553.68 × 6,034.80
  4. Step 4: Simplify right side
    6,909.60x = 57,654,548.06
  5. Step 5: Solve for x
    x = 57,654,548.06/6,909.60
  6. Step 6: Final answer
    x = 8,344.12

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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.