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Finding the Fourth Proportional to 6,799.92, 9,376.20 and 5,803.44

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Solution

The fourth proportional to 6,799.92, 9,376.20 and 5,803.44 is: 8,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.92 : 9,376.20 = 5,803.44 : x
  2. Step 2: Convert to fraction form
    6,799.92/9,376.20 = 5,803.44/x
  3. Step 3: Cross multiply
    6,799.92x = 9,376.20 × 5,803.44
  4. Step 4: Simplify right side
    6,799.92x = 54,414,214.13
  5. Step 5: Solve for x
    x = 54,414,214.13/6,799.92
  6. Step 6: Final answer
    x = 8,002.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.