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Finding the Fourth Proportional to 5,177.26, 7,747.35 and 4,486.26

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Solution

The fourth proportional to 5,177.26, 7,747.35 and 4,486.26 is: 6,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.26 : 7,747.35 = 4,486.26 : x
  2. Step 2: Convert to fraction form
    5,177.26/7,747.35 = 4,486.26/x
  3. Step 3: Cross multiply
    5,177.26x = 7,747.35 × 4,486.26
  4. Step 4: Simplify right side
    5,177.26x = 34,756,626.41
  5. Step 5: Solve for x
    x = 34,756,626.41/5,177.26
  6. Step 6: Final answer
    x = 6,713.32

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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.