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Finding the Fourth Proportional to 11,406.14, 15,737.78 and 6,623.24

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Solution

The fourth proportional to 11,406.14, 15,737.78 and 6,623.24 is: 9,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.14 : 15,737.78 = 6,623.24 : x
  2. Step 2: Convert to fraction form
    11,406.14/15,737.78 = 6,623.24/x
  3. Step 3: Cross multiply
    11,406.14x = 15,737.78 × 6,623.24
  4. Step 4: Simplify right side
    11,406.14x = 104,234,982.20
  5. Step 5: Solve for x
    x = 104,234,982.20/11,406.14
  6. Step 6: Final answer
    x = 9,138.50

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1.5x scale

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.