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Finding the Fourth Proportional to 16,385.96, 22,609.22 and 9,578.65

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Solution

The fourth proportional to 16,385.96, 22,609.22 and 9,578.65 is: 13,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.96 : 22,609.22 = 9,578.65 : x
  2. Step 2: Convert to fraction form
    16,385.96/22,609.22 = 9,578.65/x
  3. Step 3: Cross multiply
    16,385.96x = 22,609.22 × 9,578.65
  4. Step 4: Simplify right side
    16,385.96x = 216,565,929.87
  5. Step 5: Solve for x
    x = 216,565,929.87/16,385.96
  6. Step 6: Final answer
    x = 13,216.56

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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.