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Finding the Fourth Proportional to 19,594.92, 27,041 and 10,642.44

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Solution

The fourth proportional to 19,594.92, 27,041 and 10,642.44 is: 14,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.92 : 27,041 = 10,642.44 : x
  2. Step 2: Convert to fraction form
    19,594.92/27,041 = 10,642.44/x
  3. Step 3: Cross multiply
    19,594.92x = 27,041 × 10,642.44
  4. Step 4: Simplify right side
    19,594.92x = 287,782,220.04
  5. Step 5: Solve for x
    x = 287,782,220.04/19,594.92
  6. Step 6: Final answer
    x = 14,686.57

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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.