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Finding the Fourth Proportional to 6,964.84, 10,509.37 and 6,694.84

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Solution

The fourth proportional to 6,964.84, 10,509.37 and 6,694.84 is: 10,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.84 : 10,509.37 = 6,694.84 : x
  2. Step 2: Convert to fraction form
    6,964.84/10,509.37 = 6,694.84/x
  3. Step 3: Cross multiply
    6,964.84x = 10,509.37 × 6,694.84
  4. Step 4: Simplify right side
    6,964.84x = 70,358,550.65
  5. Step 5: Solve for x
    x = 70,358,550.65/6,964.84
  6. Step 6: Final answer
    x = 10,101.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.