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Finding the Fourth Proportional to 10,914.84, 16,350.71 and 8,563.14

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Solution

The fourth proportional to 10,914.84, 16,350.71 and 8,563.14 is: 12,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.84 : 16,350.71 = 8,563.14 : x
  2. Step 2: Convert to fraction form
    10,914.84/16,350.71 = 8,563.14/x
  3. Step 3: Cross multiply
    10,914.84x = 16,350.71 × 8,563.14
  4. Step 4: Simplify right side
    10,914.84x = 140,013,376.01
  5. Step 5: Solve for x
    x = 140,013,376.01/10,914.84
  6. Step 6: Final answer
    x = 12,827.80

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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.