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Finding the Fourth Proportional to 6,237, 8,613 and 4,908.33

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Solution

The fourth proportional to 6,237, 8,613 and 4,908.33 is: 6,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 8,613 = 4,908.33 : x
  2. Step 2: Convert to fraction form
    6,237/8,613 = 4,908.33/x
  3. Step 3: Cross multiply
    6,237x = 8,613 × 4,908.33
  4. Step 4: Simplify right side
    6,237x = 42,275,446.29
  5. Step 5: Solve for x
    x = 42,275,446.29/6,237
  6. Step 6: Final answer
    x = 6,778.17

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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.