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Finding the Fourth Proportional to 6,366.65, 8,785.92 and 3,534.04

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Solution

The fourth proportional to 6,366.65, 8,785.92 and 3,534.04 is: 4,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.65 : 8,785.92 = 3,534.04 : x
  2. Step 2: Convert to fraction form
    6,366.65/8,785.92 = 3,534.04/x
  3. Step 3: Cross multiply
    6,366.65x = 8,785.92 × 3,534.04
  4. Step 4: Simplify right side
    6,366.65x = 31,049,770.75
  5. Step 5: Solve for x
    x = 31,049,770.75/6,366.65
  6. Step 6: Final answer
    x = 4,876.94

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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.