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Finding the Fourth Proportional to 6,567, 9,850.50 and 6,401.76

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Solution

The fourth proportional to 6,567, 9,850.50 and 6,401.76 is: 9,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567 : 9,850.50 = 6,401.76 : x
  2. Step 2: Convert to fraction form
    6,567/9,850.50 = 6,401.76/x
  3. Step 3: Cross multiply
    6,567x = 9,850.50 × 6,401.76
  4. Step 4: Simplify right side
    6,567x = 63,060,536.88
  5. Step 5: Solve for x
    x = 63,060,536.88/6,567
  6. Step 6: Final answer
    x = 9,602.64

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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.