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Finding the Fourth Proportional to 10,736, 14,815.72 and 6,262.84

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Solution

The fourth proportional to 10,736, 14,815.72 and 6,262.84 is: 8,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736 : 14,815.72 = 6,262.84 : x
  2. Step 2: Convert to fraction form
    10,736/14,815.72 = 6,262.84/x
  3. Step 3: Cross multiply
    10,736x = 14,815.72 × 6,262.84
  4. Step 4: Simplify right side
    10,736x = 92,788,483.84
  5. Step 5: Solve for x
    x = 92,788,483.84/10,736
  6. Step 6: Final answer
    x = 8,642.74

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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.