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Finding the Fourth Proportional to 6,947.67, 10,424.47 and 4,608.50

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Solution

The fourth proportional to 6,947.67, 10,424.47 and 4,608.50 is: 6,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.67 : 10,424.47 = 4,608.50 : x
  2. Step 2: Convert to fraction form
    6,947.67/10,424.47 = 4,608.50/x
  3. Step 3: Cross multiply
    6,947.67x = 10,424.47 × 4,608.50
  4. Step 4: Simplify right side
    6,947.67x = 48,041,127.95
  5. Step 5: Solve for x
    x = 48,041,127.95/6,947.67
  6. Step 6: Final answer
    x = 6,914.71

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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.