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Finding the Fourth Proportional to 8,138.16, 11,230.64 and 4,412.16

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Solution

The fourth proportional to 8,138.16, 11,230.64 and 4,412.16 is: 6,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.16 : 11,230.64 = 4,412.16 : x
  2. Step 2: Convert to fraction form
    8,138.16/11,230.64 = 4,412.16/x
  3. Step 3: Cross multiply
    8,138.16x = 11,230.64 × 4,412.16
  4. Step 4: Simplify right side
    8,138.16x = 49,551,380.58
  5. Step 5: Solve for x
    x = 49,551,380.58/8,138.16
  6. Step 6: Final answer
    x = 6,088.77

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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.