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Finding the Fourth Proportional to 12,847.95, 17,725.19 and 8,065.87

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Solution

The fourth proportional to 12,847.95, 17,725.19 and 8,065.87 is: 11,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.95 : 17,725.19 = 8,065.87 : x
  2. Step 2: Convert to fraction form
    12,847.95/17,725.19 = 8,065.87/x
  3. Step 3: Cross multiply
    12,847.95x = 17,725.19 × 8,065.87
  4. Step 4: Simplify right side
    12,847.95x = 142,969,078.27
  5. Step 5: Solve for x
    x = 142,969,078.27/12,847.95
  6. Step 6: Final answer
    x = 11,127.77

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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.