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Finding the Fourth Proportional to 6,577, 9,869.82 and 2,473

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Solution

The fourth proportional to 6,577, 9,869.82 and 2,473 is: 3,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577 : 9,869.82 = 2,473 : x
  2. Step 2: Convert to fraction form
    6,577/9,869.82 = 2,473/x
  3. Step 3: Cross multiply
    6,577x = 9,869.82 × 2,473
  4. Step 4: Simplify right side
    6,577x = 24,408,064.86
  5. Step 5: Solve for x
    x = 24,408,064.86/6,577
  6. Step 6: Final answer
    x = 3,711.12

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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.