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Finding the Fourth Proportional to 6,205.55, 8,560.81 and 5,498.12

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Solution

The fourth proportional to 6,205.55, 8,560.81 and 5,498.12 is: 7,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.55 : 8,560.81 = 5,498.12 : x
  2. Step 2: Convert to fraction form
    6,205.55/8,560.81 = 5,498.12/x
  3. Step 3: Cross multiply
    6,205.55x = 8,560.81 × 5,498.12
  4. Step 4: Simplify right side
    6,205.55x = 47,068,290.38
  5. Step 5: Solve for x
    x = 47,068,290.38/6,205.55
  6. Step 6: Final answer
    x = 7,584.87

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Half scale
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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.