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Finding the Fourth Proportional to 22,578.84, 33,854.90 and 9,247.86

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Solution

The fourth proportional to 22,578.84, 33,854.90 and 9,247.86 is: 13,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.84 : 33,854.90 = 9,247.86 : x
  2. Step 2: Convert to fraction form
    22,578.84/33,854.90 = 9,247.86/x
  3. Step 3: Cross multiply
    22,578.84x = 33,854.90 × 9,247.86
  4. Step 4: Simplify right side
    22,578.84x = 313,085,329.27
  5. Step 5: Solve for x
    x = 313,085,329.27/22,578.84
  6. Step 6: Final answer
    x = 13,866.32

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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.