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Finding the Fourth Proportional to 11,653.82, 17,465.08 and 5,721.65

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Solution

The fourth proportional to 11,653.82, 17,465.08 and 5,721.65 is: 8,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.82 : 17,465.08 = 5,721.65 : x
  2. Step 2: Convert to fraction form
    11,653.82/17,465.08 = 5,721.65/x
  3. Step 3: Cross multiply
    11,653.82x = 17,465.08 × 5,721.65
  4. Step 4: Simplify right side
    11,653.82x = 99,929,074.98
  5. Step 5: Solve for x
    x = 99,929,074.98/11,653.82
  6. Step 6: Final answer
    x = 8,574.79

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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.