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Finding the Fourth Proportional to 22,786.03, 34,182.69 and 9,642.16

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Solution

The fourth proportional to 22,786.03, 34,182.69 and 9,642.16 is: 14,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.03 : 34,182.69 = 9,642.16 : x
  2. Step 2: Convert to fraction form
    22,786.03/34,182.69 = 9,642.16/x
  3. Step 3: Cross multiply
    22,786.03x = 34,182.69 × 9,642.16
  4. Step 4: Simplify right side
    22,786.03x = 329,594,966.21
  5. Step 5: Solve for x
    x = 329,594,966.21/22,786.03
  6. Step 6: Final answer
    x = 14,464.78

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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.