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Finding the Fourth Proportional to 11,402.46, 15,736.02 and 6,366.72

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Solution

The fourth proportional to 11,402.46, 15,736.02 and 6,366.72 is: 8,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.46 : 15,736.02 = 6,366.72 : x
  2. Step 2: Convert to fraction form
    11,402.46/15,736.02 = 6,366.72/x
  3. Step 3: Cross multiply
    11,402.46x = 15,736.02 × 6,366.72
  4. Step 4: Simplify right side
    11,402.46x = 100,186,833.25
  5. Step 5: Solve for x
    x = 100,186,833.25/11,402.46
  6. Step 6: Final answer
    x = 8,786.42

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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.