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Finding the Fourth Proportional to 9,182.50, 13,773.88 and 2,257

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Solution

The fourth proportional to 9,182.50, 13,773.88 and 2,257 is: 3,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.50 : 13,773.88 = 2,257 : x
  2. Step 2: Convert to fraction form
    9,182.50/13,773.88 = 2,257/x
  3. Step 3: Cross multiply
    9,182.50x = 13,773.88 × 2,257
  4. Step 4: Simplify right side
    9,182.50x = 31,087,647.16
  5. Step 5: Solve for x
    x = 31,087,647.16/9,182.50
  6. Step 6: Final answer
    x = 3,385.53

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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.