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Finding the Fourth Proportional to 7,661.82, 11,492.73 and 2,468.46

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Solution

The fourth proportional to 7,661.82, 11,492.73 and 2,468.46 is: 3,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.82 : 11,492.73 = 2,468.46 : x
  2. Step 2: Convert to fraction form
    7,661.82/11,492.73 = 2,468.46/x
  3. Step 3: Cross multiply
    7,661.82x = 11,492.73 × 2,468.46
  4. Step 4: Simplify right side
    7,661.82x = 28,369,344.30
  5. Step 5: Solve for x
    x = 28,369,344.30/7,661.82
  6. Step 6: Final answer
    x = 3,702.69

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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.