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Finding the Fourth Proportional to 6,951.54, 9,608.13 and 6,149.19

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Solution

The fourth proportional to 6,951.54, 9,608.13 and 6,149.19 is: 8,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.54 : 9,608.13 = 6,149.19 : x
  2. Step 2: Convert to fraction form
    6,951.54/9,608.13 = 6,149.19/x
  3. Step 3: Cross multiply
    6,951.54x = 9,608.13 × 6,149.19
  4. Step 4: Simplify right side
    6,951.54x = 59,082,216.91
  5. Step 5: Solve for x
    x = 59,082,216.91/6,951.54
  6. Step 6: Final answer
    x = 8,499.16

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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.