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Finding the Fourth Proportional to 6,305.46, 9,448.86 and 5,613.42

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Solution

The fourth proportional to 6,305.46, 9,448.86 and 5,613.42 is: 8,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.46 : 9,448.86 = 5,613.42 : x
  2. Step 2: Convert to fraction form
    6,305.46/9,448.86 = 5,613.42/x
  3. Step 3: Cross multiply
    6,305.46x = 9,448.86 × 5,613.42
  4. Step 4: Simplify right side
    6,305.46x = 53,040,419.70
  5. Step 5: Solve for x
    x = 53,040,419.70/6,305.46
  6. Step 6: Final answer
    x = 8,411.82

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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.