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Finding the Fourth Proportional to 22,292.78, 33,438.36 and 6,710

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Solution

The fourth proportional to 22,292.78, 33,438.36 and 6,710 is: 10,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.78 : 33,438.36 = 6,710 : x
  2. Step 2: Convert to fraction form
    22,292.78/33,438.36 = 6,710/x
  3. Step 3: Cross multiply
    22,292.78x = 33,438.36 × 6,710
  4. Step 4: Simplify right side
    22,292.78x = 224,371,395.60
  5. Step 5: Solve for x
    x = 224,371,395.60/22,292.78
  6. Step 6: Final answer
    x = 10,064.76

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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.