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Finding the Fourth Proportional to 10,983.84, 16,511.44 and 8,816.32

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Solution

The fourth proportional to 10,983.84, 16,511.44 and 8,816.32 is: 13,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.84 : 16,511.44 = 8,816.32 : x
  2. Step 2: Convert to fraction form
    10,983.84/16,511.44 = 8,816.32/x
  3. Step 3: Cross multiply
    10,983.84x = 16,511.44 × 8,816.32
  4. Step 4: Simplify right side
    10,983.84x = 145,570,138.70
  5. Step 5: Solve for x
    x = 145,570,138.70/10,983.84
  6. Step 6: Final answer
    x = 13,253.12

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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.