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Finding the Fourth Proportional to 7,027.68, 9,697.83 and 4,042.83

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Solution

The fourth proportional to 7,027.68, 9,697.83 and 4,042.83 is: 5,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.68 : 9,697.83 = 4,042.83 : x
  2. Step 2: Convert to fraction form
    7,027.68/9,697.83 = 4,042.83/x
  3. Step 3: Cross multiply
    7,027.68x = 9,697.83 × 4,042.83
  4. Step 4: Simplify right side
    7,027.68x = 39,206,678.06
  5. Step 5: Solve for x
    x = 39,206,678.06/7,027.68
  6. Step 6: Final answer
    x = 5,578.89

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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.