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Finding the Fourth Proportional to 6,984.41, 10,472 and 2,764.87

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Solution

The fourth proportional to 6,984.41, 10,472 and 2,764.87 is: 4,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.41 : 10,472 = 2,764.87 : x
  2. Step 2: Convert to fraction form
    6,984.41/10,472 = 2,764.87/x
  3. Step 3: Cross multiply
    6,984.41x = 10,472 × 2,764.87
  4. Step 4: Simplify right side
    6,984.41x = 28,953,718.64
  5. Step 5: Solve for x
    x = 28,953,718.64/6,984.41
  6. Step 6: Final answer
    x = 4,145.48

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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.