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Finding the Fourth Proportional to 14,735.78, 22,083.95 and 7,227.85

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Solution

The fourth proportional to 14,735.78, 22,083.95 and 7,227.85 is: 10,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.78 : 22,083.95 = 7,227.85 : x
  2. Step 2: Convert to fraction form
    14,735.78/22,083.95 = 7,227.85/x
  3. Step 3: Cross multiply
    14,735.78x = 22,083.95 × 7,227.85
  4. Step 4: Simplify right side
    14,735.78x = 159,619,539.87
  5. Step 5: Solve for x
    x = 159,619,539.87/14,735.78
  6. Step 6: Final answer
    x = 10,832.11

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1.5x scale

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.