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Finding the Fourth Proportional to 7,018, 10,524.92 and 3,316.56

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Solution

The fourth proportional to 7,018, 10,524.92 and 3,316.56 is: 4,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018 : 10,524.92 = 3,316.56 : x
  2. Step 2: Convert to fraction form
    7,018/10,524.92 = 3,316.56/x
  3. Step 3: Cross multiply
    7,018x = 10,524.92 × 3,316.56
  4. Step 4: Simplify right side
    7,018x = 34,906,528.68
  5. Step 5: Solve for x
    x = 34,906,528.68/7,018
  6. Step 6: Final answer
    x = 4,973.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.