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Finding the Fourth Proportional to 6,978.38, 10,467.59 and 1,713.41

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Solution

The fourth proportional to 6,978.38, 10,467.59 and 1,713.41 is: 2,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.38 : 10,467.59 = 1,713.41 : x
  2. Step 2: Convert to fraction form
    6,978.38/10,467.59 = 1,713.41/x
  3. Step 3: Cross multiply
    6,978.38x = 10,467.59 × 1,713.41
  4. Step 4: Simplify right side
    6,978.38x = 17,935,273.38
  5. Step 5: Solve for x
    x = 17,935,273.38/6,978.38
  6. Step 6: Final answer
    x = 2,570.12

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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.