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Finding the Fourth Proportional to 12,314.84, 16,992.61 and 6,936.50

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Solution

The fourth proportional to 12,314.84, 16,992.61 and 6,936.50 is: 9,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.84 : 16,992.61 = 6,936.50 : x
  2. Step 2: Convert to fraction form
    12,314.84/16,992.61 = 6,936.50/x
  3. Step 3: Cross multiply
    12,314.84x = 16,992.61 × 6,936.50
  4. Step 4: Simplify right side
    12,314.84x = 117,869,264.41
  5. Step 5: Solve for x
    x = 117,869,264.41/12,314.84
  6. Step 6: Final answer
    x = 9,571.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.