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Finding the Fourth Proportional to 7,257.84, 10,886.14 and 2,326.15

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Solution

The fourth proportional to 7,257.84, 10,886.14 and 2,326.15 is: 3,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.84 : 10,886.14 = 2,326.15 : x
  2. Step 2: Convert to fraction form
    7,257.84/10,886.14 = 2,326.15/x
  3. Step 3: Cross multiply
    7,257.84x = 10,886.14 × 2,326.15
  4. Step 4: Simplify right side
    7,257.84x = 25,322,794.56
  5. Step 5: Solve for x
    x = 25,322,794.56/7,257.84
  6. Step 6: Final answer
    x = 3,489.03

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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.