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Finding the Fourth Proportional to 6,835.60, 10,246.92 and 6,226.88

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Solution

The fourth proportional to 6,835.60, 10,246.92 and 6,226.88 is: 9,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.60 : 10,246.92 = 6,226.88 : x
  2. Step 2: Convert to fraction form
    6,835.60/10,246.92 = 6,226.88/x
  3. Step 3: Cross multiply
    6,835.60x = 10,246.92 × 6,226.88
  4. Step 4: Simplify right side
    6,835.60x = 63,806,341.21
  5. Step 5: Solve for x
    x = 63,806,341.21/6,835.60
  6. Step 6: Final answer
    x = 9,334.42

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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.