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Finding the Fourth Proportional to 22,058.70, 33,065.47 and 9,568.20

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Solution

The fourth proportional to 22,058.70, 33,065.47 and 9,568.20 is: 14,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058.70 : 33,065.47 = 9,568.20 : x
  2. Step 2: Convert to fraction form
    22,058.70/33,065.47 = 9,568.20/x
  3. Step 3: Cross multiply
    22,058.70x = 33,065.47 × 9,568.20
  4. Step 4: Simplify right side
    22,058.70x = 316,377,030.05
  5. Step 5: Solve for x
    x = 316,377,030.05/22,058.70
  6. Step 6: Final answer
    x = 14,342.51

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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.