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Finding the Fourth Proportional to 8,137.76, 11,230.10 and 4,411.76

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Solution

The fourth proportional to 8,137.76, 11,230.10 and 4,411.76 is: 6,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.76 : 11,230.10 = 4,411.76 : x
  2. Step 2: Convert to fraction form
    8,137.76/11,230.10 = 4,411.76/x
  3. Step 3: Cross multiply
    8,137.76x = 11,230.10 × 4,411.76
  4. Step 4: Simplify right side
    8,137.76x = 49,544,505.98
  5. Step 5: Solve for x
    x = 49,544,505.98/8,137.76
  6. Step 6: Final answer
    x = 6,088.22

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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.