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Finding the Fourth Proportional to 6,151.33, 9,233.67 and 5,709.07

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Solution

The fourth proportional to 6,151.33, 9,233.67 and 5,709.07 is: 8,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.33 : 9,233.67 = 5,709.07 : x
  2. Step 2: Convert to fraction form
    6,151.33/9,233.67 = 5,709.07/x
  3. Step 3: Cross multiply
    6,151.33x = 9,233.67 × 5,709.07
  4. Step 4: Simplify right side
    6,151.33x = 52,715,668.39
  5. Step 5: Solve for x
    x = 52,715,668.39/6,151.33
  6. Step 6: Final answer
    x = 8,569.80

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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.