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Finding the Fourth Proportional to 6,557.46, 9,049.42 and 3,573.42

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Solution

The fourth proportional to 6,557.46, 9,049.42 and 3,573.42 is: 4,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.46 : 9,049.42 = 3,573.42 : x
  2. Step 2: Convert to fraction form
    6,557.46/9,049.42 = 3,573.42/x
  3. Step 3: Cross multiply
    6,557.46x = 9,049.42 × 3,573.42
  4. Step 4: Simplify right side
    6,557.46x = 32,337,348.95
  5. Step 5: Solve for x
    x = 32,337,348.95/6,557.46
  6. Step 6: Final answer
    x = 4,931.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.