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Finding the Fourth Proportional to 8,144.53, 12,216.80 and 2,597.90

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Solution

The fourth proportional to 8,144.53, 12,216.80 and 2,597.90 is: 3,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.53 : 12,216.80 = 2,597.90 : x
  2. Step 2: Convert to fraction form
    8,144.53/12,216.80 = 2,597.90/x
  3. Step 3: Cross multiply
    8,144.53x = 12,216.80 × 2,597.90
  4. Step 4: Simplify right side
    8,144.53x = 31,737,970.13
  5. Step 5: Solve for x
    x = 31,737,970.13/8,144.53
  6. Step 6: Final answer
    x = 3,896.85

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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.