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Finding the Fourth Proportional to 11,404.71, 15,738.33 and 6,369.02

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Solution

The fourth proportional to 11,404.71, 15,738.33 and 6,369.02 is: 8,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.71 : 15,738.33 = 6,369.02 : x
  2. Step 2: Convert to fraction form
    11,404.71/15,738.33 = 6,369.02/x
  3. Step 3: Cross multiply
    11,404.71x = 15,738.33 × 6,369.02
  4. Step 4: Simplify right side
    11,404.71x = 100,237,659.84
  5. Step 5: Solve for x
    x = 100,237,659.84/11,404.71
  6. Step 6: Final answer
    x = 8,789.15

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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.