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Finding the Fourth Proportional to 6,487.86, 9,734.97 and 4,022.03

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Solution

The fourth proportional to 6,487.86, 9,734.97 and 4,022.03 is: 6,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.86 : 9,734.97 = 4,022.03 : x
  2. Step 2: Convert to fraction form
    6,487.86/9,734.97 = 4,022.03/x
  3. Step 3: Cross multiply
    6,487.86x = 9,734.97 × 4,022.03
  4. Step 4: Simplify right side
    6,487.86x = 39,154,292.71
  5. Step 5: Solve for x
    x = 39,154,292.71/6,487.86
  6. Step 6: Final answer
    x = 6,035.01

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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.