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Finding the Fourth Proportional to 22,443.28, 33,665 and 6,860.84

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Solution

The fourth proportional to 22,443.28, 33,665 and 6,860.84 is: 10,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.28 : 33,665 = 6,860.84 : x
  2. Step 2: Convert to fraction form
    22,443.28/33,665 = 6,860.84/x
  3. Step 3: Cross multiply
    22,443.28x = 33,665 × 6,860.84
  4. Step 4: Simplify right side
    22,443.28x = 230,970,178.60
  5. Step 5: Solve for x
    x = 230,970,178.60/22,443.28
  6. Step 6: Final answer
    x = 10,291.28

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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.