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Finding the Fourth Proportional to 6,089.48, 9,080.75 and 6,034.04

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Solution

The fourth proportional to 6,089.48, 9,080.75 and 6,034.04 is: 8,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.48 : 9,080.75 = 6,034.04 : x
  2. Step 2: Convert to fraction form
    6,089.48/9,080.75 = 6,034.04/x
  3. Step 3: Cross multiply
    6,089.48x = 9,080.75 × 6,034.04
  4. Step 4: Simplify right side
    6,089.48x = 54,793,608.73
  5. Step 5: Solve for x
    x = 54,793,608.73/6,089.48
  6. Step 6: Final answer
    x = 8,998.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.