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Finding the Fourth Proportional to 6,694.62, 9,237.00 and 4,006.70

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Solution

The fourth proportional to 6,694.62, 9,237.00 and 4,006.70 is: 5,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.62 : 9,237.00 = 4,006.70 : x
  2. Step 2: Convert to fraction form
    6,694.62/9,237.00 = 4,006.70/x
  3. Step 3: Cross multiply
    6,694.62x = 9,237.00 × 4,006.70
  4. Step 4: Simplify right side
    6,694.62x = 37,009,891.38
  5. Step 5: Solve for x
    x = 37,009,891.38/6,694.62
  6. Step 6: Final answer
    x = 5,528.31

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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.