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Finding the Fourth Proportional to 6,197.52, 8,540.76 and 4,426.05

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Solution

The fourth proportional to 6,197.52, 8,540.76 and 4,426.05 is: 6,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.52 : 8,540.76 = 4,426.05 : x
  2. Step 2: Convert to fraction form
    6,197.52/8,540.76 = 4,426.05/x
  3. Step 3: Cross multiply
    6,197.52x = 8,540.76 × 4,426.05
  4. Step 4: Simplify right side
    6,197.52x = 37,801,830.80
  5. Step 5: Solve for x
    x = 37,801,830.80/6,197.52
  6. Step 6: Final answer
    x = 6,099.51

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Half scale
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Double 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.