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Finding the Fourth Proportional to 8,342.33, 12,509.80 and 2,497.85

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Solution

The fourth proportional to 8,342.33, 12,509.80 and 2,497.85 is: 3,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.33 : 12,509.80 = 2,497.85 : x
  2. Step 2: Convert to fraction form
    8,342.33/12,509.80 = 2,497.85/x
  3. Step 3: Cross multiply
    8,342.33x = 12,509.80 × 2,497.85
  4. Step 4: Simplify right side
    8,342.33x = 31,247,535.14
  5. Step 5: Solve for x
    x = 31,247,535.14/8,342.33
  6. Step 6: Final answer
    x = 3,745.66

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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.