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Finding the Fourth Proportional to 6,608.55, 9,904.26 and 5,042.77

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Solution

The fourth proportional to 6,608.55, 9,904.26 and 5,042.77 is: 7,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.55 : 9,904.26 = 5,042.77 : x
  2. Step 2: Convert to fraction form
    6,608.55/9,904.26 = 5,042.77/x
  3. Step 3: Cross multiply
    6,608.55x = 9,904.26 × 5,042.77
  4. Step 4: Simplify right side
    6,608.55x = 49,944,905.20
  5. Step 5: Solve for x
    x = 49,944,905.20/6,608.55
  6. Step 6: Final answer
    x = 7,557.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.