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Finding the Fourth Proportional to 7,451.60, 11,151.80 and 6,837.20

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Solution

The fourth proportional to 7,451.60, 11,151.80 and 6,837.20 is: 10,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.60 : 11,151.80 = 6,837.20 : x
  2. Step 2: Convert to fraction form
    7,451.60/11,151.80 = 6,837.20/x
  3. Step 3: Cross multiply
    7,451.60x = 11,151.80 × 6,837.20
  4. Step 4: Simplify right side
    7,451.60x = 76,247,086.96
  5. Step 5: Solve for x
    x = 76,247,086.96/7,451.60
  6. Step 6: Final answer
    x = 10,232.31

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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.