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Finding the Fourth Proportional to 10,415.76, 15,605.42 and 8,671.97

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Solution

The fourth proportional to 10,415.76, 15,605.42 and 8,671.97 is: 12,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.76 : 15,605.42 = 8,671.97 : x
  2. Step 2: Convert to fraction form
    10,415.76/15,605.42 = 8,671.97/x
  3. Step 3: Cross multiply
    10,415.76x = 15,605.42 × 8,671.97
  4. Step 4: Simplify right side
    10,415.76x = 135,329,712.40
  5. Step 5: Solve for x
    x = 135,329,712.40/10,415.76
  6. Step 6: Final answer
    x = 12,992.78

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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.