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Finding the Fourth Proportional to 11,404.14, 15,735.74 and 6,368.10

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Solution

The fourth proportional to 11,404.14, 15,735.74 and 6,368.10 is: 8,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.14 : 15,735.74 = 6,368.10 : x
  2. Step 2: Convert to fraction form
    11,404.14/15,735.74 = 6,368.10/x
  3. Step 3: Cross multiply
    11,404.14x = 15,735.74 × 6,368.10
  4. Step 4: Simplify right side
    11,404.14x = 100,206,765.89
  5. Step 5: Solve for x
    x = 100,206,765.89/11,404.14
  6. Step 6: Final answer
    x = 8,786.88

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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.