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Finding the Fourth Proportional to 6,984.16, 10,472.12 and 3,474.02

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Solution

The fourth proportional to 6,984.16, 10,472.12 and 3,474.02 is: 5,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.16 : 10,472.12 = 3,474.02 : x
  2. Step 2: Convert to fraction form
    6,984.16/10,472.12 = 3,474.02/x
  3. Step 3: Cross multiply
    6,984.16x = 10,472.12 × 3,474.02
  4. Step 4: Simplify right side
    6,984.16x = 36,380,354.32
  5. Step 5: Solve for x
    x = 36,380,354.32/6,984.16
  6. Step 6: Final answer
    x = 5,208.98

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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.