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Finding the Fourth Proportional to 22,198.32, 33,301.08 and 9,047.16

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Solution

The fourth proportional to 22,198.32, 33,301.08 and 9,047.16 is: 13,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.32 : 33,301.08 = 9,047.16 : x
  2. Step 2: Convert to fraction form
    22,198.32/33,301.08 = 9,047.16/x
  3. Step 3: Cross multiply
    22,198.32x = 33,301.08 × 9,047.16
  4. Step 4: Simplify right side
    22,198.32x = 301,280,198.93
  5. Step 5: Solve for x
    x = 301,280,198.93/22,198.32
  6. Step 6: Final answer
    x = 13,572.21

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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.