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Finding the Fourth Proportional to 6,581.03, 9,871.54 and 3,293.35

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Solution

The fourth proportional to 6,581.03, 9,871.54 and 3,293.35 is: 4,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.03 : 9,871.54 = 3,293.35 : x
  2. Step 2: Convert to fraction form
    6,581.03/9,871.54 = 3,293.35/x
  3. Step 3: Cross multiply
    6,581.03x = 9,871.54 × 3,293.35
  4. Step 4: Simplify right side
    6,581.03x = 32,510,403.35
  5. Step 5: Solve for x
    x = 32,510,403.35/6,581.03
  6. Step 6: Final answer
    x = 4,940.02

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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.