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Finding the Fourth Proportional to 24,854.80, 37,289.16 and 7,324.24

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Solution

The fourth proportional to 24,854.80, 37,289.16 and 7,324.24 is: 10,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.80 : 37,289.16 = 7,324.24 : x
  2. Step 2: Convert to fraction form
    24,854.80/37,289.16 = 7,324.24/x
  3. Step 3: Cross multiply
    24,854.80x = 37,289.16 × 7,324.24
  4. Step 4: Simplify right side
    24,854.80x = 273,114,757.24
  5. Step 5: Solve for x
    x = 273,114,757.24/24,854.80
  6. Step 6: Final answer
    x = 10,988.41

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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.