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Finding the Fourth Proportional to 24,251.74, 36,378.06 and 7,611.40

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Solution

The fourth proportional to 24,251.74, 36,378.06 and 7,611.40 is: 11,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.74 : 36,378.06 = 7,611.40 : x
  2. Step 2: Convert to fraction form
    24,251.74/36,378.06 = 7,611.40/x
  3. Step 3: Cross multiply
    24,251.74x = 36,378.06 × 7,611.40
  4. Step 4: Simplify right side
    24,251.74x = 276,887,965.88
  5. Step 5: Solve for x
    x = 276,887,965.88/24,251.74
  6. Step 6: Final answer
    x = 11,417.24

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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.