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Finding the Fourth Proportional to 15,104.16, 20,843.74 and 8,390.41

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Solution

The fourth proportional to 15,104.16, 20,843.74 and 8,390.41 is: 11,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.16 : 20,843.74 = 8,390.41 : x
  2. Step 2: Convert to fraction form
    15,104.16/20,843.74 = 8,390.41/x
  3. Step 3: Cross multiply
    15,104.16x = 20,843.74 × 8,390.41
  4. Step 4: Simplify right side
    15,104.16x = 174,887,588.17
  5. Step 5: Solve for x
    x = 174,887,588.17/15,104.16
  6. Step 6: Final answer
    x = 11,578.77

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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.