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Finding the Fourth Proportional to 8,197.54, 11,311.05 and 4,659.46

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Solution

The fourth proportional to 8,197.54, 11,311.05 and 4,659.46 is: 6,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.54 : 11,311.05 = 4,659.46 : x
  2. Step 2: Convert to fraction form
    8,197.54/11,311.05 = 4,659.46/x
  3. Step 3: Cross multiply
    8,197.54x = 11,311.05 × 4,659.46
  4. Step 4: Simplify right side
    8,197.54x = 52,703,385.03
  5. Step 5: Solve for x
    x = 52,703,385.03/8,197.54
  6. Step 6: Final answer
    x = 6,429.17

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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.