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Finding the Fourth Proportional to 15,105.84, 20,847.15 and 8,393.64

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Solution

The fourth proportional to 15,105.84, 20,847.15 and 8,393.64 is: 11,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.84 : 20,847.15 = 8,393.64 : x
  2. Step 2: Convert to fraction form
    15,105.84/20,847.15 = 8,393.64/x
  3. Step 3: Cross multiply
    15,105.84x = 20,847.15 × 8,393.64
  4. Step 4: Simplify right side
    15,105.84x = 174,983,472.13
  5. Step 5: Solve for x
    x = 174,983,472.13/15,105.84
  6. Step 6: Final answer
    x = 11,583.83

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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.