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Finding the Fourth Proportional to 6,583.78, 9,872.40 and 3,298.78

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Solution

The fourth proportional to 6,583.78, 9,872.40 and 3,298.78 is: 4,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.78 : 9,872.40 = 3,298.78 : x
  2. Step 2: Convert to fraction form
    6,583.78/9,872.40 = 3,298.78/x
  3. Step 3: Cross multiply
    6,583.78x = 9,872.40 × 3,298.78
  4. Step 4: Simplify right side
    6,583.78x = 32,566,875.67
  5. Step 5: Solve for x
    x = 32,566,875.67/6,583.78
  6. Step 6: Final answer
    x = 4,946.53

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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.