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Finding the Fourth Proportional to 6,707.62, 10,077.83 and 6,334.62

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Solution

The fourth proportional to 6,707.62, 10,077.83 and 6,334.62 is: 9,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.62 : 10,077.83 = 6,334.62 : x
  2. Step 2: Convert to fraction form
    6,707.62/10,077.83 = 6,334.62/x
  3. Step 3: Cross multiply
    6,707.62x = 10,077.83 × 6,334.62
  4. Step 4: Simplify right side
    6,707.62x = 63,839,223.47
  5. Step 5: Solve for x
    x = 63,839,223.47/6,707.62
  6. Step 6: Final answer
    x = 9,517.42

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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.