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Finding the Fourth Proportional to 11,209.65, 15,460.49 and 6,958.31

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Solution

The fourth proportional to 11,209.65, 15,460.49 and 6,958.31 is: 9,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.65 : 15,460.49 = 6,958.31 : x
  2. Step 2: Convert to fraction form
    11,209.65/15,460.49 = 6,958.31/x
  3. Step 3: Cross multiply
    11,209.65x = 15,460.49 × 6,958.31
  4. Step 4: Simplify right side
    11,209.65x = 107,578,847.38
  5. Step 5: Solve for x
    x = 107,578,847.38/11,209.65
  6. Step 6: Final answer
    x = 9,596.99

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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.