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Finding the Fourth Proportional to 6,382.65, 8,806.70 and 3,864.26

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Solution

The fourth proportional to 6,382.65, 8,806.70 and 3,864.26 is: 5,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.65 : 8,806.70 = 3,864.26 : x
  2. Step 2: Convert to fraction form
    6,382.65/8,806.70 = 3,864.26/x
  3. Step 3: Cross multiply
    6,382.65x = 8,806.70 × 3,864.26
  4. Step 4: Simplify right side
    6,382.65x = 34,031,315.19
  5. Step 5: Solve for x
    x = 34,031,315.19/6,382.65
  6. Step 6: Final answer
    x = 5,331.85

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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.