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Finding the Fourth Proportional to 6,505.44, 9,738.96 and 6,419.04

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Solution

The fourth proportional to 6,505.44, 9,738.96 and 6,419.04 is: 9,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.44 : 9,738.96 = 6,419.04 : x
  2. Step 2: Convert to fraction form
    6,505.44/9,738.96 = 6,419.04/x
  3. Step 3: Cross multiply
    6,505.44x = 9,738.96 × 6,419.04
  4. Step 4: Simplify right side
    6,505.44x = 62,514,773.80
  5. Step 5: Solve for x
    x = 62,514,773.80/6,505.44
  6. Step 6: Final answer
    x = 9,609.61

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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.