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Finding the Fourth Proportional to 9,935.26, 13,709.52 and 5,900.65

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Solution

The fourth proportional to 9,935.26, 13,709.52 and 5,900.65 is: 8,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.26 : 13,709.52 = 5,900.65 : x
  2. Step 2: Convert to fraction form
    9,935.26/13,709.52 = 5,900.65/x
  3. Step 3: Cross multiply
    9,935.26x = 13,709.52 × 5,900.65
  4. Step 4: Simplify right side
    9,935.26x = 80,895,044.91
  5. Step 5: Solve for x
    x = 80,895,044.91/9,935.26
  6. Step 6: Final answer
    x = 8,142.22

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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.