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Finding the Fourth Proportional to 6,945.83, 9,585 and 3,962.63

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Solution

The fourth proportional to 6,945.83, 9,585 and 3,962.63 is: 5,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.83 : 9,585 = 3,962.63 : x
  2. Step 2: Convert to fraction form
    6,945.83/9,585 = 3,962.63/x
  3. Step 3: Cross multiply
    6,945.83x = 9,585 × 3,962.63
  4. Step 4: Simplify right side
    6,945.83x = 37,981,760.63
  5. Step 5: Solve for x
    x = 37,981,760.63/6,945.83
  6. Step 6: Final answer
    x = 5,468.29

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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.