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Finding the Fourth Proportional to 24,175.48, 36,267 and 7,532.16

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Solution

The fourth proportional to 24,175.48, 36,267 and 7,532.16 is: 11,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.48 : 36,267 = 7,532.16 : x
  2. Step 2: Convert to fraction form
    24,175.48/36,267 = 7,532.16/x
  3. Step 3: Cross multiply
    24,175.48x = 36,267 × 7,532.16
  4. Step 4: Simplify right side
    24,175.48x = 273,168,846.72
  5. Step 5: Solve for x
    x = 273,168,846.72/24,175.48
  6. Step 6: Final answer
    x = 11,299.42

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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.