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Finding the Fourth Proportional to 8,513.86, 12,770.40 and 2,273.74

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Solution

The fourth proportional to 8,513.86, 12,770.40 and 2,273.74 is: 3,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.86 : 12,770.40 = 2,273.74 : x
  2. Step 2: Convert to fraction form
    8,513.86/12,770.40 = 2,273.74/x
  3. Step 3: Cross multiply
    8,513.86x = 12,770.40 × 2,273.74
  4. Step 4: Simplify right side
    8,513.86x = 29,036,569.30
  5. Step 5: Solve for x
    x = 29,036,569.30/8,513.86
  6. Step 6: Final answer
    x = 3,410.51

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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.