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Finding the Fourth Proportional to 7,214.73, 9,956.16 and 4,071

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Solution

The fourth proportional to 7,214.73, 9,956.16 and 4,071 is: 5,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.73 : 9,956.16 = 4,071 : x
  2. Step 2: Convert to fraction form
    7,214.73/9,956.16 = 4,071/x
  3. Step 3: Cross multiply
    7,214.73x = 9,956.16 × 4,071
  4. Step 4: Simplify right side
    7,214.73x = 40,531,527.36
  5. Step 5: Solve for x
    x = 40,531,527.36/7,214.73
  6. Step 6: Final answer
    x = 5,617.89

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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.