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Finding the Fourth Proportional to 9,896.68, 14,844.66 and 2,971

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Solution

The fourth proportional to 9,896.68, 14,844.66 and 2,971 is: 4,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.68 : 14,844.66 = 2,971 : x
  2. Step 2: Convert to fraction form
    9,896.68/14,844.66 = 2,971/x
  3. Step 3: Cross multiply
    9,896.68x = 14,844.66 × 2,971
  4. Step 4: Simplify right side
    9,896.68x = 44,103,484.86
  5. Step 5: Solve for x
    x = 44,103,484.86/9,896.68
  6. Step 6: Final answer
    x = 4,456.39

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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.