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Finding the Fourth Proportional to 8,114.55, 11,197.89 and 4,577.82

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Solution

The fourth proportional to 8,114.55, 11,197.89 and 4,577.82 is: 6,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.55 : 11,197.89 = 4,577.82 : x
  2. Step 2: Convert to fraction form
    8,114.55/11,197.89 = 4,577.82/x
  3. Step 3: Cross multiply
    8,114.55x = 11,197.89 × 4,577.82
  4. Step 4: Simplify right side
    8,114.55x = 51,261,924.80
  5. Step 5: Solve for x
    x = 51,261,924.80/8,114.55
  6. Step 6: Final answer
    x = 6,317.28

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Half scale
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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.