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Finding the Fourth Proportional to 15,078.25, 20,807.84 and 8,363.89

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Solution

The fourth proportional to 15,078.25, 20,807.84 and 8,363.89 is: 11,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.25 : 20,807.84 = 8,363.89 : x
  2. Step 2: Convert to fraction form
    15,078.25/20,807.84 = 8,363.89/x
  3. Step 3: Cross multiply
    15,078.25x = 20,807.84 × 8,363.89
  4. Step 4: Simplify right side
    15,078.25x = 174,034,484.90
  5. Step 5: Solve for x
    x = 174,034,484.90/15,078.25
  6. Step 6: Final answer
    x = 11,542.09

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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.