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Finding the Fourth Proportional to 6,989.63, 10,484.74 and 2,246.27

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Solution

The fourth proportional to 6,989.63, 10,484.74 and 2,246.27 is: 3,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.63 : 10,484.74 = 2,246.27 : x
  2. Step 2: Convert to fraction form
    6,989.63/10,484.74 = 2,246.27/x
  3. Step 3: Cross multiply
    6,989.63x = 10,484.74 × 2,246.27
  4. Step 4: Simplify right side
    6,989.63x = 23,551,545.69
  5. Step 5: Solve for x
    x = 23,551,545.69/6,989.63
  6. Step 6: Final answer
    x = 3,369.50

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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.