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Finding the Fourth Proportional to 6,443.29, 9,708.82 and 5,298.93

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Solution

The fourth proportional to 6,443.29, 9,708.82 and 5,298.93 is: 7,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.29 : 9,708.82 = 5,298.93 : x
  2. Step 2: Convert to fraction form
    6,443.29/9,708.82 = 5,298.93/x
  3. Step 3: Cross multiply
    6,443.29x = 9,708.82 × 5,298.93
  4. Step 4: Simplify right side
    6,443.29x = 51,446,357.56
  5. Step 5: Solve for x
    x = 51,446,357.56/6,443.29
  6. Step 6: Final answer
    x = 7,984.49

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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.