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Finding the Fourth Proportional to 6,557.16, 9,049 and 3,573

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Solution

The fourth proportional to 6,557.16, 9,049 and 3,573 is: 4,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.16 : 9,049 = 3,573 : x
  2. Step 2: Convert to fraction form
    6,557.16/9,049 = 3,573/x
  3. Step 3: Cross multiply
    6,557.16x = 9,049 × 3,573
  4. Step 4: Simplify right side
    6,557.16x = 32,332,077
  5. Step 5: Solve for x
    x = 32,332,077/6,557.16
  6. Step 6: Final answer
    x = 4,930.80

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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.