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Finding the Fourth Proportional to 11,893.14, 16,407.36 and 8,358.66

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Solution

The fourth proportional to 11,893.14, 16,407.36 and 8,358.66 is: 11,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.14 : 16,407.36 = 8,358.66 : x
  2. Step 2: Convert to fraction form
    11,893.14/16,407.36 = 8,358.66/x
  3. Step 3: Cross multiply
    11,893.14x = 16,407.36 × 8,358.66
  4. Step 4: Simplify right side
    11,893.14x = 137,143,543.74
  5. Step 5: Solve for x
    x = 137,143,543.74/11,893.14
  6. Step 6: Final answer
    x = 11,531.32

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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.