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Finding the Fourth Proportional to 9,182.88, 13,774.40 and 2,257.44

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Solution

The fourth proportional to 9,182.88, 13,774.40 and 2,257.44 is: 3,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.88 : 13,774.40 = 2,257.44 : x
  2. Step 2: Convert to fraction form
    9,182.88/13,774.40 = 2,257.44/x
  3. Step 3: Cross multiply
    9,182.88x = 13,774.40 × 2,257.44
  4. Step 4: Simplify right side
    9,182.88x = 31,094,881.54
  5. Step 5: Solve for x
    x = 31,094,881.54/9,182.88
  6. Step 6: Final answer
    x = 3,386.18

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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.