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Finding the Fourth Proportional to 11,574.75, 17,362.11 and 2,809.65

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Solution

The fourth proportional to 11,574.75, 17,362.11 and 2,809.65 is: 4,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.75 : 17,362.11 = 2,809.65 : x
  2. Step 2: Convert to fraction form
    11,574.75/17,362.11 = 2,809.65/x
  3. Step 3: Cross multiply
    11,574.75x = 17,362.11 × 2,809.65
  4. Step 4: Simplify right side
    11,574.75x = 48,781,528.01
  5. Step 5: Solve for x
    x = 48,781,528.01/11,574.75
  6. Step 6: Final answer
    x = 4,214.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.