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Finding the Fourth Proportional to 6,535.75, 9,019.34 and 3,741.79

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Solution

The fourth proportional to 6,535.75, 9,019.34 and 3,741.79 is: 5,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.75 : 9,019.34 = 3,741.79 : x
  2. Step 2: Convert to fraction form
    6,535.75/9,019.34 = 3,741.79/x
  3. Step 3: Cross multiply
    6,535.75x = 9,019.34 × 3,741.79
  4. Step 4: Simplify right side
    6,535.75x = 33,748,476.22
  5. Step 5: Solve for x
    x = 33,748,476.22/6,535.75
  6. Step 6: Final answer
    x = 5,163.67

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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.