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Finding the Fourth Proportional to 8,114.64, 11,198.16 and 4,577.64

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Solution

The fourth proportional to 8,114.64, 11,198.16 and 4,577.64 is: 6,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.64 : 11,198.16 = 4,577.64 : x
  2. Step 2: Convert to fraction form
    8,114.64/11,198.16 = 4,577.64/x
  3. Step 3: Cross multiply
    8,114.64x = 11,198.16 × 4,577.64
  4. Step 4: Simplify right side
    8,114.64x = 51,261,145.14
  5. Step 5: Solve for x
    x = 51,261,145.14/8,114.64
  6. Step 6: Final answer
    x = 6,317.12

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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.