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Finding the Fourth Proportional to 8,142.16, 11,236.16 and 4,416.16

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Solution

The fourth proportional to 8,142.16, 11,236.16 and 4,416.16 is: 6,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.16 : 11,236.16 = 4,416.16 : x
  2. Step 2: Convert to fraction form
    8,142.16/11,236.16 = 4,416.16/x
  3. Step 3: Cross multiply
    8,142.16x = 11,236.16 × 4,416.16
  4. Step 4: Simplify right side
    8,142.16x = 49,620,680.35
  5. Step 5: Solve for x
    x = 49,620,680.35/8,142.16
  6. Step 6: Final answer
    x = 6,094.29

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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.