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Finding the Fourth Proportional to 7,078.19, 9,768.04 and 3,891.44

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Solution

The fourth proportional to 7,078.19, 9,768.04 and 3,891.44 is: 5,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.19 : 9,768.04 = 3,891.44 : x
  2. Step 2: Convert to fraction form
    7,078.19/9,768.04 = 3,891.44/x
  3. Step 3: Cross multiply
    7,078.19x = 9,768.04 × 3,891.44
  4. Step 4: Simplify right side
    7,078.19x = 38,011,778.16
  5. Step 5: Solve for x
    x = 38,011,778.16/7,078.19
  6. Step 6: Final answer
    x = 5,370.27

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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.