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Finding the Fourth Proportional to 6,122.74, 9,182.89 and 3,001.40

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Solution

The fourth proportional to 6,122.74, 9,182.89 and 3,001.40 is: 4,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.74 : 9,182.89 = 3,001.40 : x
  2. Step 2: Convert to fraction form
    6,122.74/9,182.89 = 3,001.40/x
  3. Step 3: Cross multiply
    6,122.74x = 9,182.89 × 3,001.40
  4. Step 4: Simplify right side
    6,122.74x = 27,561,526.05
  5. Step 5: Solve for x
    x = 27,561,526.05/6,122.74
  6. Step 6: Final answer
    x = 4,501.50

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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.