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Finding the Fourth Proportional to 6,824.43, 9,419.07 and 4,431.06

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Solution

The fourth proportional to 6,824.43, 9,419.07 and 4,431.06 is: 6,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.43 : 9,419.07 = 4,431.06 : x
  2. Step 2: Convert to fraction form
    6,824.43/9,419.07 = 4,431.06/x
  3. Step 3: Cross multiply
    6,824.43x = 9,419.07 × 4,431.06
  4. Step 4: Simplify right side
    6,824.43x = 41,736,464.31
  5. Step 5: Solve for x
    x = 41,736,464.31/6,824.43
  6. Step 6: Final answer
    x = 6,115.74

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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.