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Finding the Fourth Proportional to 6,678.38, 10,013.88 and 5,300.54

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Solution

The fourth proportional to 6,678.38, 10,013.88 and 5,300.54 is: 7,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.38 : 10,013.88 = 5,300.54 : x
  2. Step 2: Convert to fraction form
    6,678.38/10,013.88 = 5,300.54/x
  3. Step 3: Cross multiply
    6,678.38x = 10,013.88 × 5,300.54
  4. Step 4: Simplify right side
    6,678.38x = 53,078,971.50
  5. Step 5: Solve for x
    x = 53,078,971.50/6,678.38
  6. Step 6: Final answer
    x = 7,947.88

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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.