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Finding the Fourth Proportional to 8,462.84, 12,633.70 and 7,355.98

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Solution

The fourth proportional to 8,462.84, 12,633.70 and 7,355.98 is: 10,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.84 : 12,633.70 = 7,355.98 : x
  2. Step 2: Convert to fraction form
    8,462.84/12,633.70 = 7,355.98/x
  3. Step 3: Cross multiply
    8,462.84x = 12,633.70 × 7,355.98
  4. Step 4: Simplify right side
    8,462.84x = 92,933,244.53
  5. Step 5: Solve for x
    x = 92,933,244.53/8,462.84
  6. Step 6: Final answer
    x = 10,981.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.