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Finding the Fourth Proportional to 6,934.67, 9,569.84 and 3,790.86

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Solution

The fourth proportional to 6,934.67, 9,569.84 and 3,790.86 is: 5,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.67 : 9,569.84 = 3,790.86 : x
  2. Step 2: Convert to fraction form
    6,934.67/9,569.84 = 3,790.86/x
  3. Step 3: Cross multiply
    6,934.67x = 9,569.84 × 3,790.86
  4. Step 4: Simplify right side
    6,934.67x = 36,277,904.71
  5. Step 5: Solve for x
    x = 36,277,904.71/6,934.67
  6. Step 6: Final answer
    x = 5,231.38

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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.