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Finding the Fourth Proportional to 16,578.48, 22,878.24 and 9,126.48

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Solution

The fourth proportional to 16,578.48, 22,878.24 and 9,126.48 is: 12,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.48 : 22,878.24 = 9,126.48 : x
  2. Step 2: Convert to fraction form
    16,578.48/22,878.24 = 9,126.48/x
  3. Step 3: Cross multiply
    16,578.48x = 22,878.24 × 9,126.48
  4. Step 4: Simplify right side
    16,578.48x = 208,797,799.80
  5. Step 5: Solve for x
    x = 208,797,799.80/16,578.48
  6. Step 6: Final answer
    x = 12,594.51

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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.