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Finding the Fourth Proportional to 6,778.26, 9,354.15 and 4,792.38

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Solution

The fourth proportional to 6,778.26, 9,354.15 and 4,792.38 is: 6,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.26 : 9,354.15 = 4,792.38 : x
  2. Step 2: Convert to fraction form
    6,778.26/9,354.15 = 4,792.38/x
  3. Step 3: Cross multiply
    6,778.26x = 9,354.15 × 4,792.38
  4. Step 4: Simplify right side
    6,778.26x = 44,828,641.38
  5. Step 5: Solve for x
    x = 44,828,641.38/6,778.26
  6. Step 6: Final answer
    x = 6,613.59

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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.