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Finding the Fourth Proportional to 6,978.96, 10,468.80 and 3,515.04

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Solution

The fourth proportional to 6,978.96, 10,468.80 and 3,515.04 is: 5,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.96 : 10,468.80 = 3,515.04 : x
  2. Step 2: Convert to fraction form
    6,978.96/10,468.80 = 3,515.04/x
  3. Step 3: Cross multiply
    6,978.96x = 10,468.80 × 3,515.04
  4. Step 4: Simplify right side
    6,978.96x = 36,798,250.75
  5. Step 5: Solve for x
    x = 36,798,250.75/6,978.96
  6. Step 6: Final answer
    x = 5,272.74

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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.