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Finding the Fourth Proportional to 6,262.94, 8,654.38 and 4,491.74

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Solution

The fourth proportional to 6,262.94, 8,654.38 and 4,491.74 is: 6,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.94 : 8,654.38 = 4,491.74 : x
  2. Step 2: Convert to fraction form
    6,262.94/8,654.38 = 4,491.74/x
  3. Step 3: Cross multiply
    6,262.94x = 8,654.38 × 4,491.74
  4. Step 4: Simplify right side
    6,262.94x = 38,873,224.82
  5. Step 5: Solve for x
    x = 38,873,224.82/6,262.94
  6. Step 6: Final answer
    x = 6,206.87

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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.