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Finding the Fourth Proportional to 7,078.30, 9,768.17 and 3,891.74

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Solution

The fourth proportional to 7,078.30, 9,768.17 and 3,891.74 is: 5,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.30 : 9,768.17 = 3,891.74 : x
  2. Step 2: Convert to fraction form
    7,078.30/9,768.17 = 3,891.74/x
  3. Step 3: Cross multiply
    7,078.30x = 9,768.17 × 3,891.74
  4. Step 4: Simplify right side
    7,078.30x = 38,015,124.21
  5. Step 5: Solve for x
    x = 38,015,124.21/7,078.30
  6. Step 6: Final answer
    x = 5,370.66

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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.