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Finding the Fourth Proportional to 6,767, 9,338.46 and 4,113.92

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Solution

The fourth proportional to 6,767, 9,338.46 and 4,113.92 is: 5,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767 : 9,338.46 = 4,113.92 : x
  2. Step 2: Convert to fraction form
    6,767/9,338.46 = 4,113.92/x
  3. Step 3: Cross multiply
    6,767x = 9,338.46 × 4,113.92
  4. Step 4: Simplify right side
    6,767x = 38,417,677.36
  5. Step 5: Solve for x
    x = 38,417,677.36/6,767
  6. Step 6: Final answer
    x = 5,677.21

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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.