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Finding the Fourth Proportional to 22,646.28, 33,969.42 and 7,065.12

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Solution

The fourth proportional to 22,646.28, 33,969.42 and 7,065.12 is: 10,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.28 : 33,969.42 = 7,065.12 : x
  2. Step 2: Convert to fraction form
    22,646.28/33,969.42 = 7,065.12/x
  3. Step 3: Cross multiply
    22,646.28x = 33,969.42 × 7,065.12
  4. Step 4: Simplify right side
    22,646.28x = 239,998,028.63
  5. Step 5: Solve for x
    x = 239,998,028.63/22,646.28
  6. Step 6: Final answer
    x = 10,597.68

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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.