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Finding the Fourth Proportional to 7,805.96, 10,767.30 and 5,447.24

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Solution

The fourth proportional to 7,805.96, 10,767.30 and 5,447.24 is: 7,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.96 : 10,767.30 = 5,447.24 : x
  2. Step 2: Convert to fraction form
    7,805.96/10,767.30 = 5,447.24/x
  3. Step 3: Cross multiply
    7,805.96x = 10,767.30 × 5,447.24
  4. Step 4: Simplify right side
    7,805.96x = 58,652,067.25
  5. Step 5: Solve for x
    x = 58,652,067.25/7,805.96
  6. Step 6: Final answer
    x = 7,513.75

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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.