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Finding the Fourth Proportional to 6,414.90, 9,609.79 and 5,718.30

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Solution

The fourth proportional to 6,414.90, 9,609.79 and 5,718.30 is: 8,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.90 : 9,609.79 = 5,718.30 : x
  2. Step 2: Convert to fraction form
    6,414.90/9,609.79 = 5,718.30/x
  3. Step 3: Cross multiply
    6,414.90x = 9,609.79 × 5,718.30
  4. Step 4: Simplify right side
    6,414.90x = 54,951,662.16
  5. Step 5: Solve for x
    x = 54,951,662.16/6,414.90
  6. Step 6: Final answer
    x = 8,566.25

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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.