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Finding the Fourth Proportional to 7,758.68, 10,707.09 and 4,221.89

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Solution

The fourth proportional to 7,758.68, 10,707.09 and 4,221.89 is: 5,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.68 : 10,707.09 = 4,221.89 : x
  2. Step 2: Convert to fraction form
    7,758.68/10,707.09 = 4,221.89/x
  3. Step 3: Cross multiply
    7,758.68x = 10,707.09 × 4,221.89
  4. Step 4: Simplify right side
    7,758.68x = 45,204,182.97
  5. Step 5: Solve for x
    x = 45,204,182.97/7,758.68
  6. Step 6: Final answer
    x = 5,826.27

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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.