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Finding the Fourth Proportional to 6,765.42, 10,114.88 and 5,736.93

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Solution

The fourth proportional to 6,765.42, 10,114.88 and 5,736.93 is: 8,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.42 : 10,114.88 = 5,736.93 : x
  2. Step 2: Convert to fraction form
    6,765.42/10,114.88 = 5,736.93/x
  3. Step 3: Cross multiply
    6,765.42x = 10,114.88 × 5,736.93
  4. Step 4: Simplify right side
    6,765.42x = 58,028,291.90
  5. Step 5: Solve for x
    x = 58,028,291.90/6,765.42
  6. Step 6: Final answer
    x = 8,577.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.