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Finding the Fourth Proportional to 6,138.80, 9,197.40 and 5,037.20

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Solution

The fourth proportional to 6,138.80, 9,197.40 and 5,037.20 is: 7,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.80 : 9,197.40 = 5,037.20 : x
  2. Step 2: Convert to fraction form
    6,138.80/9,197.40 = 5,037.20/x
  3. Step 3: Cross multiply
    6,138.80x = 9,197.40 × 5,037.20
  4. Step 4: Simplify right side
    6,138.80x = 46,329,143.28
  5. Step 5: Solve for x
    x = 46,329,143.28/6,138.80
  6. Step 6: Final answer
    x = 7,546.94

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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.