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Finding the Fourth Proportional to 8,309.34, 11,451.06 and 5,947.38

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Solution

The fourth proportional to 8,309.34, 11,451.06 and 5,947.38 is: 8,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.34 : 11,451.06 = 5,947.38 : x
  2. Step 2: Convert to fraction form
    8,309.34/11,451.06 = 5,947.38/x
  3. Step 3: Cross multiply
    8,309.34x = 11,451.06 × 5,947.38
  4. Step 4: Simplify right side
    8,309.34x = 68,103,805.22
  5. Step 5: Solve for x
    x = 68,103,805.22/8,309.34
  6. Step 6: Final answer
    x = 8,196.05

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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.