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Finding the Fourth Proportional to 6,835, 10,253.94 and 2,218.36

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Solution

The fourth proportional to 6,835, 10,253.94 and 2,218.36 is: 3,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835 : 10,253.94 = 2,218.36 : x
  2. Step 2: Convert to fraction form
    6,835/10,253.94 = 2,218.36/x
  3. Step 3: Cross multiply
    6,835x = 10,253.94 × 2,218.36
  4. Step 4: Simplify right side
    6,835x = 22,746,930.34
  5. Step 5: Solve for x
    x = 22,746,930.34/6,835
  6. Step 6: Final answer
    x = 3,328.01

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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.