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Finding the Fourth Proportional to 22,356.80, 33,550.57 and 9,209.16

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Solution

The fourth proportional to 22,356.80, 33,550.57 and 9,209.16 is: 13,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.80 : 33,550.57 = 9,209.16 : x
  2. Step 2: Convert to fraction form
    22,356.80/33,550.57 = 9,209.16/x
  3. Step 3: Cross multiply
    22,356.80x = 33,550.57 × 9,209.16
  4. Step 4: Simplify right side
    22,356.80x = 308,972,567.22
  5. Step 5: Solve for x
    x = 308,972,567.22/22,356.80
  6. Step 6: Final answer
    x = 13,820.07

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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.