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Finding the Fourth Proportional to 6,140.78, 9,202.93 and 5,747.12

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Solution

The fourth proportional to 6,140.78, 9,202.93 and 5,747.12 is: 8,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.78 : 9,202.93 = 5,747.12 : x
  2. Step 2: Convert to fraction form
    6,140.78/9,202.93 = 5,747.12/x
  3. Step 3: Cross multiply
    6,140.78x = 9,202.93 × 5,747.12
  4. Step 4: Simplify right side
    6,140.78x = 52,890,268.31
  5. Step 5: Solve for x
    x = 52,890,268.31/6,140.78
  6. Step 6: Final answer
    x = 8,612.96

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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.