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Finding the Fourth Proportional to 6,112.67, 9,178.95 and 5,657.90

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Solution

The fourth proportional to 6,112.67, 9,178.95 and 5,657.90 is: 8,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.67 : 9,178.95 = 5,657.90 : x
  2. Step 2: Convert to fraction form
    6,112.67/9,178.95 = 5,657.90/x
  3. Step 3: Cross multiply
    6,112.67x = 9,178.95 × 5,657.90
  4. Step 4: Simplify right side
    6,112.67x = 51,933,581.21
  5. Step 5: Solve for x
    x = 51,933,581.21/6,112.67
  6. Step 6: Final answer
    x = 8,496.06

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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.