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Finding the Fourth Proportional to 24,049.59, 36,074.66 and 7,409.49

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Solution

The fourth proportional to 24,049.59, 36,074.66 and 7,409.49 is: 11,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.59 : 36,074.66 = 7,409.49 : x
  2. Step 2: Convert to fraction form
    24,049.59/36,074.66 = 7,409.49/x
  3. Step 3: Cross multiply
    24,049.59x = 36,074.66 × 7,409.49
  4. Step 4: Simplify right side
    24,049.59x = 267,294,832.52
  5. Step 5: Solve for x
    x = 267,294,832.52/24,049.59
  6. Step 6: Final answer
    x = 11,114.32

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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.