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Finding the Fourth Proportional to 17,752.10, 24,496.79 and 9,794.39

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Solution

The fourth proportional to 17,752.10, 24,496.79 and 9,794.39 is: 13,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.10 : 24,496.79 = 9,794.39 : x
  2. Step 2: Convert to fraction form
    17,752.10/24,496.79 = 9,794.39/x
  3. Step 3: Cross multiply
    17,752.10x = 24,496.79 × 9,794.39
  4. Step 4: Simplify right side
    17,752.10x = 239,930,943.55
  5. Step 5: Solve for x
    x = 239,930,943.55/17,752.10
  6. Step 6: Final answer
    x = 13,515.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.