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Finding the Fourth Proportional to 6,655.67, 9,984.41 and 2,271.95

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Solution

The fourth proportional to 6,655.67, 9,984.41 and 2,271.95 is: 3,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.67 : 9,984.41 = 2,271.95 : x
  2. Step 2: Convert to fraction form
    6,655.67/9,984.41 = 2,271.95/x
  3. Step 3: Cross multiply
    6,655.67x = 9,984.41 × 2,271.95
  4. Step 4: Simplify right side
    6,655.67x = 22,684,019.02
  5. Step 5: Solve for x
    x = 22,684,019.02/6,655.67
  6. Step 6: Final answer
    x = 3,408.23

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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.