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Finding the Fourth Proportional to 10,222.40, 14,103.74 and 5,970.38

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Solution

The fourth proportional to 10,222.40, 14,103.74 and 5,970.38 is: 8,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.40 : 14,103.74 = 5,970.38 : x
  2. Step 2: Convert to fraction form
    10,222.40/14,103.74 = 5,970.38/x
  3. Step 3: Cross multiply
    10,222.40x = 14,103.74 × 5,970.38
  4. Step 4: Simplify right side
    10,222.40x = 84,204,586.85
  5. Step 5: Solve for x
    x = 84,204,586.85/10,222.40
  6. Step 6: Final answer
    x = 8,237.27

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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.