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Finding the Fourth Proportional to 9,089.56, 13,639.62 and 3,824.19

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Solution

The fourth proportional to 9,089.56, 13,639.62 and 3,824.19 is: 5,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.56 : 13,639.62 = 3,824.19 : x
  2. Step 2: Convert to fraction form
    9,089.56/13,639.62 = 3,824.19/x
  3. Step 3: Cross multiply
    9,089.56x = 13,639.62 × 3,824.19
  4. Step 4: Simplify right side
    9,089.56x = 52,160,498.41
  5. Step 5: Solve for x
    x = 52,160,498.41/9,089.56
  6. Step 6: Final answer
    x = 5,738.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.