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Finding the Fourth Proportional to 8,197.47, 12,295.49 and 4,248.54

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Solution

The fourth proportional to 8,197.47, 12,295.49 and 4,248.54 is: 6,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.47 : 12,295.49 = 4,248.54 : x
  2. Step 2: Convert to fraction form
    8,197.47/12,295.49 = 4,248.54/x
  3. Step 3: Cross multiply
    8,197.47x = 12,295.49 × 4,248.54
  4. Step 4: Simplify right side
    8,197.47x = 52,237,859.84
  5. Step 5: Solve for x
    x = 52,237,859.84/8,197.47
  6. Step 6: Final answer
    x = 6,372.44

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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.