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Finding the Fourth Proportional to 6,535.94, 9,020.13 and 3,741.62

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Solution

The fourth proportional to 6,535.94, 9,020.13 and 3,741.62 is: 5,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.94 : 9,020.13 = 3,741.62 : x
  2. Step 2: Convert to fraction form
    6,535.94/9,020.13 = 3,741.62/x
  3. Step 3: Cross multiply
    6,535.94x = 9,020.13 × 3,741.62
  4. Step 4: Simplify right side
    6,535.94x = 33,749,898.81
  5. Step 5: Solve for x
    x = 33,749,898.81/6,535.94
  6. Step 6: Final answer
    x = 5,163.74

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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.