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Finding the Fourth Proportional to 6,101.87, 9,144.80 and 3,470.58

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Solution

The fourth proportional to 6,101.87, 9,144.80 and 3,470.58 is: 5,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.87 : 9,144.80 = 3,470.58 : x
  2. Step 2: Convert to fraction form
    6,101.87/9,144.80 = 3,470.58/x
  3. Step 3: Cross multiply
    6,101.87x = 9,144.80 × 3,470.58
  4. Step 4: Simplify right side
    6,101.87x = 31,737,742.63
  5. Step 5: Solve for x
    x = 31,737,742.63/6,101.87
  6. Step 6: Final answer
    x = 5,201.32

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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.