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Finding the Fourth Proportional to 6,450, 9,675.12 and 1,833.12

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Solution

The fourth proportional to 6,450, 9,675.12 and 1,833.12 is: 2,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450 : 9,675.12 = 1,833.12 : x
  2. Step 2: Convert to fraction form
    6,450/9,675.12 = 1,833.12/x
  3. Step 3: Cross multiply
    6,450x = 9,675.12 × 1,833.12
  4. Step 4: Simplify right side
    6,450x = 17,735,655.97
  5. Step 5: Solve for x
    x = 17,735,655.97/6,450
  6. Step 6: Final answer
    x = 2,749.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.