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Finding the Fourth Proportional to 10,542.96, 14,552.10 and 6,067.20

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Solution

The fourth proportional to 10,542.96, 14,552.10 and 6,067.20 is: 8,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.96 : 14,552.10 = 6,067.20 : x
  2. Step 2: Convert to fraction form
    10,542.96/14,552.10 = 6,067.20/x
  3. Step 3: Cross multiply
    10,542.96x = 14,552.10 × 6,067.20
  4. Step 4: Simplify right side
    10,542.96x = 88,290,501.12
  5. Step 5: Solve for x
    x = 88,290,501.12/10,542.96
  6. Step 6: Final answer
    x = 8,374.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.