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Finding the Fourth Proportional to 6,944.48, 9,577.96 and 6,148.65

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Solution

The fourth proportional to 6,944.48, 9,577.96 and 6,148.65 is: 8,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.48 : 9,577.96 = 6,148.65 : x
  2. Step 2: Convert to fraction form
    6,944.48/9,577.96 = 6,148.65/x
  3. Step 3: Cross multiply
    6,944.48x = 9,577.96 × 6,148.65
  4. Step 4: Simplify right side
    6,944.48x = 58,891,523.75
  5. Step 5: Solve for x
    x = 58,891,523.75/6,944.48
  6. Step 6: Final answer
    x = 8,480.34

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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.