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Finding the Fourth Proportional to 11,823.46, 17,735.20 and 8,114.46

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Solution

The fourth proportional to 11,823.46, 17,735.20 and 8,114.46 is: 12,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.46 : 17,735.20 = 8,114.46 : x
  2. Step 2: Convert to fraction form
    11,823.46/17,735.20 = 8,114.46/x
  3. Step 3: Cross multiply
    11,823.46x = 17,735.20 × 8,114.46
  4. Step 4: Simplify right side
    11,823.46x = 143,911,570.99
  5. Step 5: Solve for x
    x = 143,911,570.99/11,823.46
  6. Step 6: Final answer
    x = 12,171.70

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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.