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Finding the Fourth Proportional to 6,353.31, 8,769.42 and 4,115.10

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Solution

The fourth proportional to 6,353.31, 8,769.42 and 4,115.10 is: 5,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.31 : 8,769.42 = 4,115.10 : x
  2. Step 2: Convert to fraction form
    6,353.31/8,769.42 = 4,115.10/x
  3. Step 3: Cross multiply
    6,353.31x = 8,769.42 × 4,115.10
  4. Step 4: Simplify right side
    6,353.31x = 36,087,040.24
  5. Step 5: Solve for x
    x = 36,087,040.24/6,353.31
  6. Step 6: Final answer
    x = 5,680.04

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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.