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Finding the Fourth Proportional to 7,162.38, 9,884.52 and 4,768.22

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Solution

The fourth proportional to 7,162.38, 9,884.52 and 4,768.22 is: 6,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.38 : 9,884.52 = 4,768.22 : x
  2. Step 2: Convert to fraction form
    7,162.38/9,884.52 = 4,768.22/x
  3. Step 3: Cross multiply
    7,162.38x = 9,884.52 × 4,768.22
  4. Step 4: Simplify right side
    7,162.38x = 47,131,565.95
  5. Step 5: Solve for x
    x = 47,131,565.95/7,162.38
  6. Step 6: Final answer
    x = 6,580.43

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Half scale
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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.