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Finding the Fourth Proportional to 6,710.60, 10,061.90 and 4,115.40

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Solution

The fourth proportional to 6,710.60, 10,061.90 and 4,115.40 is: 6,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.60 : 10,061.90 = 4,115.40 : x
  2. Step 2: Convert to fraction form
    6,710.60/10,061.90 = 4,115.40/x
  3. Step 3: Cross multiply
    6,710.60x = 10,061.90 × 4,115.40
  4. Step 4: Simplify right side
    6,710.60x = 41,408,743.26
  5. Step 5: Solve for x
    x = 41,408,743.26/6,710.60
  6. Step 6: Final answer
    x = 6,170.65

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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.