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Finding the Fourth Proportional to 6,583.59, 9,852.29 and 5,398.97

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Solution

The fourth proportional to 6,583.59, 9,852.29 and 5,398.97 is: 8,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.59 : 9,852.29 = 5,398.97 : x
  2. Step 2: Convert to fraction form
    6,583.59/9,852.29 = 5,398.97/x
  3. Step 3: Cross multiply
    6,583.59x = 9,852.29 × 5,398.97
  4. Step 4: Simplify right side
    6,583.59x = 53,192,141.89
  5. Step 5: Solve for x
    x = 53,192,141.89/6,583.59
  6. Step 6: Final answer
    x = 8,079.50

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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.