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Finding the Fourth Proportional to 6,978.67, 10,451.59 and 5,507.98

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Solution

The fourth proportional to 6,978.67, 10,451.59 and 5,507.98 is: 8,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.67 : 10,451.59 = 5,507.98 : x
  2. Step 2: Convert to fraction form
    6,978.67/10,451.59 = 5,507.98/x
  3. Step 3: Cross multiply
    6,978.67x = 10,451.59 × 5,507.98
  4. Step 4: Simplify right side
    6,978.67x = 57,567,148.69
  5. Step 5: Solve for x
    x = 57,567,148.69/6,978.67
  6. Step 6: Final answer
    x = 8,249.01

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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.