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Finding the Fourth Proportional to 6,443.21, 9,708.72 and 5,298.85

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Solution

The fourth proportional to 6,443.21, 9,708.72 and 5,298.85 is: 7,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.21 : 9,708.72 = 5,298.85 : x
  2. Step 2: Convert to fraction form
    6,443.21/9,708.72 = 5,298.85/x
  3. Step 3: Cross multiply
    6,443.21x = 9,708.72 × 5,298.85
  4. Step 4: Simplify right side
    6,443.21x = 51,445,050.97
  5. Step 5: Solve for x
    x = 51,445,050.97/6,443.21
  6. Step 6: Final answer
    x = 7,984.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.