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Finding the Fourth Proportional to 6,306.65, 9,470.51 and 3,940.22

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Solution

The fourth proportional to 6,306.65, 9,470.51 and 3,940.22 is: 5,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.65 : 9,470.51 = 3,940.22 : x
  2. Step 2: Convert to fraction form
    6,306.65/9,470.51 = 3,940.22/x
  3. Step 3: Cross multiply
    6,306.65x = 9,470.51 × 3,940.22
  4. Step 4: Simplify right side
    6,306.65x = 37,315,926.44
  5. Step 5: Solve for x
    x = 37,315,926.44/6,306.65
  6. Step 6: Final answer
    x = 5,916.92

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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.