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Finding the Fourth Proportional to 10,674, 14,724 and 6,197.18

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Solution

The fourth proportional to 10,674, 14,724 and 6,197.18 is: 8,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 14,724 = 6,197.18 : x
  2. Step 2: Convert to fraction form
    10,674/14,724 = 6,197.18/x
  3. Step 3: Cross multiply
    10,674x = 14,724 × 6,197.18
  4. Step 4: Simplify right side
    10,674x = 91,247,278.32
  5. Step 5: Solve for x
    x = 91,247,278.32/10,674
  6. Step 6: Final answer
    x = 8,548.56

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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.