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Finding the Fourth Proportional to 7,470.65, 10,310.09 and 4,284.24

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Solution

The fourth proportional to 7,470.65, 10,310.09 and 4,284.24 is: 5,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.65 : 10,310.09 = 4,284.24 : x
  2. Step 2: Convert to fraction form
    7,470.65/10,310.09 = 4,284.24/x
  3. Step 3: Cross multiply
    7,470.65x = 10,310.09 × 4,284.24
  4. Step 4: Simplify right side
    7,470.65x = 44,170,878.56
  5. Step 5: Solve for x
    x = 44,170,878.56/7,470.65
  6. Step 6: Final answer
    x = 5,912.59

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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.