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Finding the Fourth Proportional to 22,437, 33,662.34 and 9,290.16

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Solution

The fourth proportional to 22,437, 33,662.34 and 9,290.16 is: 13,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437 : 33,662.34 = 9,290.16 : x
  2. Step 2: Convert to fraction form
    22,437/33,662.34 = 9,290.16/x
  3. Step 3: Cross multiply
    22,437x = 33,662.34 × 9,290.16
  4. Step 4: Simplify right side
    22,437x = 312,728,524.57
  5. Step 5: Solve for x
    x = 312,728,524.57/22,437
  6. Step 6: Final answer
    x = 13,938.07

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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.