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Finding the Fourth Proportional to 6,770.70, 10,156.05 and 6,165.90

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Solution

The fourth proportional to 6,770.70, 10,156.05 and 6,165.90 is: 9,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.70 : 10,156.05 = 6,165.90 : x
  2. Step 2: Convert to fraction form
    6,770.70/10,156.05 = 6,165.90/x
  3. Step 3: Cross multiply
    6,770.70x = 10,156.05 × 6,165.90
  4. Step 4: Simplify right side
    6,770.70x = 62,621,188.70
  5. Step 5: Solve for x
    x = 62,621,188.70/6,770.70
  6. Step 6: Final answer
    x = 9,248.85

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1.5x scale

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.