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Finding the Fourth Proportional to 6,684.80, 9,224.82 and 4,033.76

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Solution

The fourth proportional to 6,684.80, 9,224.82 and 4,033.76 is: 5,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.80 : 9,224.82 = 4,033.76 : x
  2. Step 2: Convert to fraction form
    6,684.80/9,224.82 = 4,033.76/x
  3. Step 3: Cross multiply
    6,684.80x = 9,224.82 × 4,033.76
  4. Step 4: Simplify right side
    6,684.80x = 37,210,709.92
  5. Step 5: Solve for x
    x = 37,210,709.92/6,684.80
  6. Step 6: Final answer
    x = 5,566.47

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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.