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Finding the Fourth Proportional to 6,315.69, 9,472.79 and 1,933.19

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Solution

The fourth proportional to 6,315.69, 9,472.79 and 1,933.19 is: 2,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.69 : 9,472.79 = 1,933.19 : x
  2. Step 2: Convert to fraction form
    6,315.69/9,472.79 = 1,933.19/x
  3. Step 3: Cross multiply
    6,315.69x = 9,472.79 × 1,933.19
  4. Step 4: Simplify right side
    6,315.69x = 18,312,645.87
  5. Step 5: Solve for x
    x = 18,312,645.87/6,315.69
  6. Step 6: Final answer
    x = 2,899.55

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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.