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Finding the Fourth Proportional to 8,467, 12,700.51 and 2,311

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Solution

The fourth proportional to 8,467, 12,700.51 and 2,311 is: 3,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467 : 12,700.51 = 2,311 : x
  2. Step 2: Convert to fraction form
    8,467/12,700.51 = 2,311/x
  3. Step 3: Cross multiply
    8,467x = 12,700.51 × 2,311
  4. Step 4: Simplify right side
    8,467x = 29,350,878.61
  5. Step 5: Solve for x
    x = 29,350,878.61/8,467
  6. Step 6: Final answer
    x = 3,466.50

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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.