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Finding the Fourth Proportional to 8,901.36, 12,272.56 and 5,876

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Solution

The fourth proportional to 8,901.36, 12,272.56 and 5,876 is: 8,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.36 : 12,272.56 = 5,876 : x
  2. Step 2: Convert to fraction form
    8,901.36/12,272.56 = 5,876/x
  3. Step 3: Cross multiply
    8,901.36x = 12,272.56 × 5,876
  4. Step 4: Simplify right side
    8,901.36x = 72,113,562.56
  5. Step 5: Solve for x
    x = 72,113,562.56/8,901.36
  6. Step 6: Final answer
    x = 8,101.41

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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.