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Finding the Fourth Proportional to 6,206.65, 9,310.20 and 1,824.55

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Solution

The fourth proportional to 6,206.65, 9,310.20 and 1,824.55 is: 2,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.65 : 9,310.20 = 1,824.55 : x
  2. Step 2: Convert to fraction form
    6,206.65/9,310.20 = 1,824.55/x
  3. Step 3: Cross multiply
    6,206.65x = 9,310.20 × 1,824.55
  4. Step 4: Simplify right side
    6,206.65x = 16,986,925.41
  5. Step 5: Solve for x
    x = 16,986,925.41/6,206.65
  6. Step 6: Final answer
    x = 2,736.89

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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.