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Finding the Fourth Proportional to 6,749.97, 9,314.94 and 3,765.81

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Solution

The fourth proportional to 6,749.97, 9,314.94 and 3,765.81 is: 5,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.97 : 9,314.94 = 3,765.81 : x
  2. Step 2: Convert to fraction form
    6,749.97/9,314.94 = 3,765.81/x
  3. Step 3: Cross multiply
    6,749.97x = 9,314.94 × 3,765.81
  4. Step 4: Simplify right side
    6,749.97x = 35,078,259.27
  5. Step 5: Solve for x
    x = 35,078,259.27/6,749.97
  6. Step 6: Final answer
    x = 5,196.80

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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.