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Finding the Fourth Proportional to 6,138.80, 9,202.74 and 5,107.26

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Solution

The fourth proportional to 6,138.80, 9,202.74 and 5,107.26 is: 7,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.80 : 9,202.74 = 5,107.26 : x
  2. Step 2: Convert to fraction form
    6,138.80/9,202.74 = 5,107.26/x
  3. Step 3: Cross multiply
    6,138.80x = 9,202.74 × 5,107.26
  4. Step 4: Simplify right side
    6,138.80x = 47,000,785.89
  5. Step 5: Solve for x
    x = 47,000,785.89/6,138.80
  6. Step 6: Final answer
    x = 7,656.35

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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.