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Finding the Fourth Proportional to 7,805.97, 10,771.79 and 4,448.77

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Solution

The fourth proportional to 7,805.97, 10,771.79 and 4,448.77 is: 6,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.97 : 10,771.79 = 4,448.77 : x
  2. Step 2: Convert to fraction form
    7,805.97/10,771.79 = 4,448.77/x
  3. Step 3: Cross multiply
    7,805.97x = 10,771.79 × 4,448.77
  4. Step 4: Simplify right side
    7,805.97x = 47,921,227.62
  5. Step 5: Solve for x
    x = 47,921,227.62/7,805.97
  6. Step 6: Final answer
    x = 6,139.05

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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.