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Finding the Fourth Proportional to 7,013.99, 9,682.82 and 4,362.26

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Solution

The fourth proportional to 7,013.99, 9,682.82 and 4,362.26 is: 6,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.99 : 9,682.82 = 4,362.26 : x
  2. Step 2: Convert to fraction form
    7,013.99/9,682.82 = 4,362.26/x
  3. Step 3: Cross multiply
    7,013.99x = 9,682.82 × 4,362.26
  4. Step 4: Simplify right side
    7,013.99x = 42,238,919.05
  5. Step 5: Solve for x
    x = 42,238,919.05/7,013.99
  6. Step 6: Final answer
    x = 6,022.09

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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.