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Finding the Fourth Proportional to 8,092.64, 11,167.80 and 4,555.80

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Solution

The fourth proportional to 8,092.64, 11,167.80 and 4,555.80 is: 6,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.64 : 11,167.80 = 4,555.80 : x
  2. Step 2: Convert to fraction form
    8,092.64/11,167.80 = 4,555.80/x
  3. Step 3: Cross multiply
    8,092.64x = 11,167.80 × 4,555.80
  4. Step 4: Simplify right side
    8,092.64x = 50,878,263.24
  5. Step 5: Solve for x
    x = 50,878,263.24/8,092.64
  6. Step 6: Final answer
    x = 6,286.98

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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.