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Finding the Fourth Proportional to 6,996.78, 9,648 and 4,754.16

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Solution

The fourth proportional to 6,996.78, 9,648 and 4,754.16 is: 6,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.78 : 9,648 = 4,754.16 : x
  2. Step 2: Convert to fraction form
    6,996.78/9,648 = 4,754.16/x
  3. Step 3: Cross multiply
    6,996.78x = 9,648 × 4,754.16
  4. Step 4: Simplify right side
    6,996.78x = 45,868,135.68
  5. Step 5: Solve for x
    x = 45,868,135.68/6,996.78
  6. Step 6: Final answer
    x = 6,555.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.