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Finding the Fourth Proportional to 6,655.46, 9,984.37 and 2,271.89

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Solution

The fourth proportional to 6,655.46, 9,984.37 and 2,271.89 is: 3,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.46 : 9,984.37 = 2,271.89 : x
  2. Step 2: Convert to fraction form
    6,655.46/9,984.37 = 2,271.89/x
  3. Step 3: Cross multiply
    6,655.46x = 9,984.37 × 2,271.89
  4. Step 4: Simplify right side
    6,655.46x = 22,683,418.16
  5. Step 5: Solve for x
    x = 22,683,418.16/6,655.46
  6. Step 6: Final answer
    x = 3,408.24

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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.