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Finding the Fourth Proportional to 6,741.60, 9,303.10 and 3,757.76

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Solution

The fourth proportional to 6,741.60, 9,303.10 and 3,757.76 is: 5,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.60 : 9,303.10 = 3,757.76 : x
  2. Step 2: Convert to fraction form
    6,741.60/9,303.10 = 3,757.76/x
  3. Step 3: Cross multiply
    6,741.60x = 9,303.10 × 3,757.76
  4. Step 4: Simplify right side
    6,741.60x = 34,958,817.06
  5. Step 5: Solve for x
    x = 34,958,817.06/6,741.60
  6. Step 6: Final answer
    x = 5,185.54

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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.