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Finding the Fourth Proportional to 6,574.20, 9,869.10 and 3,802.80

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Solution

The fourth proportional to 6,574.20, 9,869.10 and 3,802.80 is: 5,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.20 : 9,869.10 = 3,802.80 : x
  2. Step 2: Convert to fraction form
    6,574.20/9,869.10 = 3,802.80/x
  3. Step 3: Cross multiply
    6,574.20x = 9,869.10 × 3,802.80
  4. Step 4: Simplify right side
    6,574.20x = 37,530,213.48
  5. Step 5: Solve for x
    x = 37,530,213.48/6,574.20
  6. Step 6: Final answer
    x = 5,708.71

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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.