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Finding the Fourth Proportional to 22,648.80, 33,973.60 and 7,858.20

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Solution

The fourth proportional to 22,648.80, 33,973.60 and 7,858.20 is: 11,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.80 : 33,973.60 = 7,858.20 : x
  2. Step 2: Convert to fraction form
    22,648.80/33,973.60 = 7,858.20/x
  3. Step 3: Cross multiply
    22,648.80x = 33,973.60 × 7,858.20
  4. Step 4: Simplify right side
    22,648.80x = 266,971,343.52
  5. Step 5: Solve for x
    x = 266,971,343.52/22,648.80
  6. Step 6: Final answer
    x = 11,787.44

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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.