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Finding the Fourth Proportional to 24,874.70, 37,315.69 and 7,342.25

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Solution

The fourth proportional to 24,874.70, 37,315.69 and 7,342.25 is: 11,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.70 : 37,315.69 = 7,342.25 : x
  2. Step 2: Convert to fraction form
    24,874.70/37,315.69 = 7,342.25/x
  3. Step 3: Cross multiply
    24,874.70x = 37,315.69 × 7,342.25
  4. Step 4: Simplify right side
    24,874.70x = 273,980,919.97
  5. Step 5: Solve for x
    x = 273,980,919.97/24,874.70
  6. Step 6: Final answer
    x = 11,014.44

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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.