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Finding the Fourth Proportional to 8,813.46, 12,163.20 and 5,824.10

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Solution

The fourth proportional to 8,813.46, 12,163.20 and 5,824.10 is: 8,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.46 : 12,163.20 = 5,824.10 : x
  2. Step 2: Convert to fraction form
    8,813.46/12,163.20 = 5,824.10/x
  3. Step 3: Cross multiply
    8,813.46x = 12,163.20 × 5,824.10
  4. Step 4: Simplify right side
    8,813.46x = 70,839,693.12
  5. Step 5: Solve for x
    x = 70,839,693.12/8,813.46
  6. Step 6: Final answer
    x = 8,037.67

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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.