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Finding the Fourth Proportional to 11,404.46, 15,738.09 and 6,368.63

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Solution

The fourth proportional to 11,404.46, 15,738.09 and 6,368.63 is: 8,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.46 : 15,738.09 = 6,368.63 : x
  2. Step 2: Convert to fraction form
    11,404.46/15,738.09 = 6,368.63/x
  3. Step 3: Cross multiply
    11,404.46x = 15,738.09 × 6,368.63
  4. Step 4: Simplify right side
    11,404.46x = 100,230,072.12
  5. Step 5: Solve for x
    x = 100,230,072.12/11,404.46
  6. Step 6: Final answer
    x = 8,788.67

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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.