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Finding the Fourth Proportional to 14,797.57, 20,420.76 and 8,083.09

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Solution

The fourth proportional to 14,797.57, 20,420.76 and 8,083.09 is: 11,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.57 : 20,420.76 = 8,083.09 : x
  2. Step 2: Convert to fraction form
    14,797.57/20,420.76 = 8,083.09/x
  3. Step 3: Cross multiply
    14,797.57x = 20,420.76 × 8,083.09
  4. Step 4: Simplify right side
    14,797.57x = 165,062,840.95
  5. Step 5: Solve for x
    x = 165,062,840.95/14,797.57
  6. Step 6: Final answer
    x = 11,154.73

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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.