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Finding the Fourth Proportional to 6,071.76, 8,324.42 and 5,961.06

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Solution

The fourth proportional to 6,071.76, 8,324.42 and 5,961.06 is: 8,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.76 : 8,324.42 = 5,961.06 : x
  2. Step 2: Convert to fraction form
    6,071.76/8,324.42 = 5,961.06/x
  3. Step 3: Cross multiply
    6,071.76x = 8,324.42 × 5,961.06
  4. Step 4: Simplify right side
    6,071.76x = 49,622,337.28
  5. Step 5: Solve for x
    x = 49,622,337.28/6,071.76
  6. Step 6: Final answer
    x = 8,172.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.