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Finding the Fourth Proportional to 6,044.68, 9,065.80 and 1,884

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Solution

The fourth proportional to 6,044.68, 9,065.80 and 1,884 is: 2,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.68 : 9,065.80 = 1,884 : x
  2. Step 2: Convert to fraction form
    6,044.68/9,065.80 = 1,884/x
  3. Step 3: Cross multiply
    6,044.68x = 9,065.80 × 1,884
  4. Step 4: Simplify right side
    6,044.68x = 17,079,967.20
  5. Step 5: Solve for x
    x = 17,079,967.20/6,044.68
  6. Step 6: Final answer
    x = 2,825.62

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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.