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Finding the Fourth Proportional to 11,404.56, 15,738.12 and 6,436.56

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Solution

The fourth proportional to 11,404.56, 15,738.12 and 6,436.56 is: 8,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.56 : 15,738.12 = 6,436.56 : x
  2. Step 2: Convert to fraction form
    11,404.56/15,738.12 = 6,436.56/x
  3. Step 3: Cross multiply
    11,404.56x = 15,738.12 × 6,436.56
  4. Step 4: Simplify right side
    11,404.56x = 101,299,353.67
  5. Step 5: Solve for x
    x = 101,299,353.67/11,404.56
  6. Step 6: Final answer
    x = 8,882.36

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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.