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Finding the Fourth Proportional to 22,649.40, 33,973.92 and 7,858.08

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Solution

The fourth proportional to 22,649.40, 33,973.92 and 7,858.08 is: 11,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.40 : 33,973.92 = 7,858.08 : x
  2. Step 2: Convert to fraction form
    22,649.40/33,973.92 = 7,858.08/x
  3. Step 3: Cross multiply
    22,649.40x = 33,973.92 × 7,858.08
  4. Step 4: Simplify right side
    22,649.40x = 266,969,781.27
  5. Step 5: Solve for x
    x = 266,969,781.27/22,649.40
  6. Step 6: Final answer
    x = 11,787.06

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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.