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Finding the Fourth Proportional to 22,206.52, 33,315 and 7,213.56

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Solution

The fourth proportional to 22,206.52, 33,315 and 7,213.56 is: 10,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.52 : 33,315 = 7,213.56 : x
  2. Step 2: Convert to fraction form
    22,206.52/33,315 = 7,213.56/x
  3. Step 3: Cross multiply
    22,206.52x = 33,315 × 7,213.56
  4. Step 4: Simplify right side
    22,206.52x = 240,319,751.40
  5. Step 5: Solve for x
    x = 240,319,751.40/22,206.52
  6. Step 6: Final answer
    x = 10,822.04

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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.