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Finding the Fourth Proportional to 8,116.41, 11,200.64 and 4,390.41

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Solution

The fourth proportional to 8,116.41, 11,200.64 and 4,390.41 is: 6,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.41 : 11,200.64 = 4,390.41 : x
  2. Step 2: Convert to fraction form
    8,116.41/11,200.64 = 4,390.41/x
  3. Step 3: Cross multiply
    8,116.41x = 11,200.64 × 4,390.41
  4. Step 4: Simplify right side
    8,116.41x = 49,175,401.86
  5. Step 5: Solve for x
    x = 49,175,401.86/8,116.41
  6. Step 6: Final answer
    x = 6,058.76

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Half scale
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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.