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Finding the Fourth Proportional to 7,410, 10,226.12 and 4,098

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Solution

The fourth proportional to 7,410, 10,226.12 and 4,098 is: 5,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410 : 10,226.12 = 4,098 : x
  2. Step 2: Convert to fraction form
    7,410/10,226.12 = 4,098/x
  3. Step 3: Cross multiply
    7,410x = 10,226.12 × 4,098
  4. Step 4: Simplify right side
    7,410x = 41,906,639.76
  5. Step 5: Solve for x
    x = 41,906,639.76/7,410
  6. Step 6: Final answer
    x = 5,655.42

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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.