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Finding the Fourth Proportional to 12,581.32, 17,363.10 and 6,992.68

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Solution

The fourth proportional to 12,581.32, 17,363.10 and 6,992.68 is: 9,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.32 : 17,363.10 = 6,992.68 : x
  2. Step 2: Convert to fraction form
    12,581.32/17,363.10 = 6,992.68/x
  3. Step 3: Cross multiply
    12,581.32x = 17,363.10 × 6,992.68
  4. Step 4: Simplify right side
    12,581.32x = 121,414,602.11
  5. Step 5: Solve for x
    x = 121,414,602.11/12,581.32
  6. Step 6: Final answer
    x = 9,650.39

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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.