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Finding the Fourth Proportional to 9,257.15, 13,883.25 and 3,413

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Solution

The fourth proportional to 9,257.15, 13,883.25 and 3,413 is: 5,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.15 : 13,883.25 = 3,413 : x
  2. Step 2: Convert to fraction form
    9,257.15/13,883.25 = 3,413/x
  3. Step 3: Cross multiply
    9,257.15x = 13,883.25 × 3,413
  4. Step 4: Simplify right side
    9,257.15x = 47,383,532.25
  5. Step 5: Solve for x
    x = 47,383,532.25/9,257.15
  6. Step 6: Final answer
    x = 5,118.59

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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.