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Finding the Fourth Proportional to 16,609, 22,920.42 and 9,535.88

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Solution

The fourth proportional to 16,609, 22,920.42 and 9,535.88 is: 13,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609 : 22,920.42 = 9,535.88 : x
  2. Step 2: Convert to fraction form
    16,609/22,920.42 = 9,535.88/x
  3. Step 3: Cross multiply
    16,609x = 22,920.42 × 9,535.88
  4. Step 4: Simplify right side
    16,609x = 218,566,374.67
  5. Step 5: Solve for x
    x = 218,566,374.67/16,609
  6. Step 6: Final answer
    x = 13,159.51

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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.