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Finding the Fourth Proportional to 15,642.69, 21,586.92 and 8,569.14

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Solution

The fourth proportional to 15,642.69, 21,586.92 and 8,569.14 is: 11,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.69 : 21,586.92 = 8,569.14 : x
  2. Step 2: Convert to fraction form
    15,642.69/21,586.92 = 8,569.14/x
  3. Step 3: Cross multiply
    15,642.69x = 21,586.92 × 8,569.14
  4. Step 4: Simplify right side
    15,642.69x = 184,981,339.65
  5. Step 5: Solve for x
    x = 184,981,339.65/15,642.69
  6. Step 6: Final answer
    x = 11,825.42

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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.