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Finding the Fourth Proportional to 6,571, 9,853.44 and 3,105.76

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Solution

The fourth proportional to 6,571, 9,853.44 and 3,105.76 is: 4,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571 : 9,853.44 = 3,105.76 : x
  2. Step 2: Convert to fraction form
    6,571/9,853.44 = 3,105.76/x
  3. Step 3: Cross multiply
    6,571x = 9,853.44 × 3,105.76
  4. Step 4: Simplify right side
    6,571x = 30,602,419.81
  5. Step 5: Solve for x
    x = 30,602,419.81/6,571
  6. Step 6: Final answer
    x = 4,657.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.