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Finding the Fourth Proportional to 6,984.98, 10,474.16 and 2,539.54

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Solution

The fourth proportional to 6,984.98, 10,474.16 and 2,539.54 is: 3,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.98 : 10,474.16 = 2,539.54 : x
  2. Step 2: Convert to fraction form
    6,984.98/10,474.16 = 2,539.54/x
  3. Step 3: Cross multiply
    6,984.98x = 10,474.16 × 2,539.54
  4. Step 4: Simplify right side
    6,984.98x = 26,599,509.40
  5. Step 5: Solve for x
    x = 26,599,509.40/6,984.98
  6. Step 6: Final answer
    x = 3,808.10

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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.