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Finding the Fourth Proportional to 28,454.78, 42,682.17 and 7,678.28

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Solution

The fourth proportional to 28,454.78, 42,682.17 and 7,678.28 is: 11,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,454.78 : 42,682.17 = 7,678.28 : x
  2. Step 2: Convert to fraction form
    28,454.78/42,682.17 = 7,678.28/x
  3. Step 3: Cross multiply
    28,454.78x = 42,682.17 × 7,678.28
  4. Step 4: Simplify right side
    28,454.78x = 327,725,652.27
  5. Step 5: Solve for x
    x = 327,725,652.27/28,454.78
  6. Step 6: Final answer
    x = 11,517.42

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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.