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Finding the Fourth Proportional to 6,617.69, 9,133.22 and 3,823.19

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Solution

The fourth proportional to 6,617.69, 9,133.22 and 3,823.19 is: 5,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.69 : 9,133.22 = 3,823.19 : x
  2. Step 2: Convert to fraction form
    6,617.69/9,133.22 = 3,823.19/x
  3. Step 3: Cross multiply
    6,617.69x = 9,133.22 × 3,823.19
  4. Step 4: Simplify right side
    6,617.69x = 34,918,035.37
  5. Step 5: Solve for x
    x = 34,918,035.37/6,617.69
  6. Step 6: Final answer
    x = 5,276.47

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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.