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Finding the Fourth Proportional to 7,107.92, 10,661.88 and 3,642.96

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Solution

The fourth proportional to 7,107.92, 10,661.88 and 3,642.96 is: 5,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.92 : 10,661.88 = 3,642.96 : x
  2. Step 2: Convert to fraction form
    7,107.92/10,661.88 = 3,642.96/x
  3. Step 3: Cross multiply
    7,107.92x = 10,661.88 × 3,642.96
  4. Step 4: Simplify right side
    7,107.92x = 38,840,802.36
  5. Step 5: Solve for x
    x = 38,840,802.36/7,107.92
  6. Step 6: Final answer
    x = 5,464.44

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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.