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Finding the Fourth Proportional to 22,649.33, 33,974.30 and 6,854.48

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Solution

The fourth proportional to 22,649.33, 33,974.30 and 6,854.48 is: 10,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.33 : 33,974.30 = 6,854.48 : x
  2. Step 2: Convert to fraction form
    22,649.33/33,974.30 = 6,854.48/x
  3. Step 3: Cross multiply
    22,649.33x = 33,974.30 × 6,854.48
  4. Step 4: Simplify right side
    22,649.33x = 232,875,955.72
  5. Step 5: Solve for x
    x = 232,875,955.72/22,649.33
  6. Step 6: Final answer
    x = 10,281.81

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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.