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Finding the Fourth Proportional to 6,179.77, 9,258.87 and 5,146.42

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Solution

The fourth proportional to 6,179.77, 9,258.87 and 5,146.42 is: 7,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.77 : 9,258.87 = 5,146.42 : x
  2. Step 2: Convert to fraction form
    6,179.77/9,258.87 = 5,146.42/x
  3. Step 3: Cross multiply
    6,179.77x = 9,258.87 × 5,146.42
  4. Step 4: Simplify right side
    6,179.77x = 47,650,033.75
  5. Step 5: Solve for x
    x = 47,650,033.75/6,179.77
  6. Step 6: Final answer
    x = 7,710.65

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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.