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Finding the Fourth Proportional to 6,164.22, 8,512.83 and 3,927.10

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Solution

The fourth proportional to 6,164.22, 8,512.83 and 3,927.10 is: 5,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.22 : 8,512.83 = 3,927.10 : x
  2. Step 2: Convert to fraction form
    6,164.22/8,512.83 = 3,927.10/x
  3. Step 3: Cross multiply
    6,164.22x = 8,512.83 × 3,927.10
  4. Step 4: Simplify right side
    6,164.22x = 33,430,734.69
  5. Step 5: Solve for x
    x = 33,430,734.69/6,164.22
  6. Step 6: Final answer
    x = 5,423.35

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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.