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Finding the Fourth Proportional to 6,836.32, 10,248.56 and 6,450

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Solution

The fourth proportional to 6,836.32, 10,248.56 and 6,450 is: 9,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.32 : 10,248.56 = 6,450 : x
  2. Step 2: Convert to fraction form
    6,836.32/10,248.56 = 6,450/x
  3. Step 3: Cross multiply
    6,836.32x = 10,248.56 × 6,450
  4. Step 4: Simplify right side
    6,836.32x = 66,103,212
  5. Step 5: Solve for x
    x = 66,103,212/6,836.32
  6. Step 6: Final answer
    x = 9,669.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.