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Finding the Fourth Proportional to 6,978.82, 10,467.28 and 2,047.54

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Solution

The fourth proportional to 6,978.82, 10,467.28 and 2,047.54 is: 3,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.82 : 10,467.28 = 2,047.54 : x
  2. Step 2: Convert to fraction form
    6,978.82/10,467.28 = 2,047.54/x
  3. Step 3: Cross multiply
    6,978.82x = 10,467.28 × 2,047.54
  4. Step 4: Simplify right side
    6,978.82x = 21,432,117.04
  5. Step 5: Solve for x
    x = 21,432,117.04/6,978.82
  6. Step 6: Final answer
    x = 3,071.03

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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.