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Finding the Fourth Proportional to 22,557.84, 33,842.28 and 7,766.96

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Solution

The fourth proportional to 22,557.84, 33,842.28 and 7,766.96 is: 11,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,557.84 : 33,842.28 = 7,766.96 : x
  2. Step 2: Convert to fraction form
    22,557.84/33,842.28 = 7,766.96/x
  3. Step 3: Cross multiply
    22,557.84x = 33,842.28 × 7,766.96
  4. Step 4: Simplify right side
    22,557.84x = 262,851,635.07
  5. Step 5: Solve for x
    x = 262,851,635.07/22,557.84
  6. Step 6: Final answer
    x = 11,652.34

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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.