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Finding the Fourth Proportional to 6,764.71, 10,147.02 and 2,382.21

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Solution

The fourth proportional to 6,764.71, 10,147.02 and 2,382.21 is: 3,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.71 : 10,147.02 = 2,382.21 : x
  2. Step 2: Convert to fraction form
    6,764.71/10,147.02 = 2,382.21/x
  3. Step 3: Cross multiply
    6,764.71x = 10,147.02 × 2,382.21
  4. Step 4: Simplify right side
    6,764.71x = 24,172,332.51
  5. Step 5: Solve for x
    x = 24,172,332.51/6,764.71
  6. Step 6: Final answer
    x = 3,573.30

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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.