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Finding the Fourth Proportional to 6,214.77, 9,322.16 and 5,834.61

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Solution

The fourth proportional to 6,214.77, 9,322.16 and 5,834.61 is: 8,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.77 : 9,322.16 = 5,834.61 : x
  2. Step 2: Convert to fraction form
    6,214.77/9,322.16 = 5,834.61/x
  3. Step 3: Cross multiply
    6,214.77x = 9,322.16 × 5,834.61
  4. Step 4: Simplify right side
    6,214.77x = 54,391,138.78
  5. Step 5: Solve for x
    x = 54,391,138.78/6,214.77
  6. Step 6: Final answer
    x = 8,751.92

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.