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Finding the Fourth Proportional to 6,535.74, 9,020.07 and 3,741.18

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Solution

The fourth proportional to 6,535.74, 9,020.07 and 3,741.18 is: 5,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.74 : 9,020.07 = 3,741.18 : x
  2. Step 2: Convert to fraction form
    6,535.74/9,020.07 = 3,741.18/x
  3. Step 3: Cross multiply
    6,535.74x = 9,020.07 × 3,741.18
  4. Step 4: Simplify right side
    6,535.74x = 33,745,705.48
  5. Step 5: Solve for x
    x = 33,745,705.48/6,535.74
  6. Step 6: Final answer
    x = 5,163.26

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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.