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Finding the Fourth Proportional to 6,473.83, 9,709.67 and 1,794.32

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Solution

The fourth proportional to 6,473.83, 9,709.67 and 1,794.32 is: 2,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.83 : 9,709.67 = 1,794.32 : x
  2. Step 2: Convert to fraction form
    6,473.83/9,709.67 = 1,794.32/x
  3. Step 3: Cross multiply
    6,473.83x = 9,709.67 × 1,794.32
  4. Step 4: Simplify right side
    6,473.83x = 17,422,219.62
  5. Step 5: Solve for x
    x = 17,422,219.62/6,473.83
  6. Step 6: Final answer
    x = 2,691.17

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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.