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Finding the Fourth Proportional to 6,034.92, 9,053.80 and 1,874.72

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Solution

The fourth proportional to 6,034.92, 9,053.80 and 1,874.72 is: 2,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.92 : 9,053.80 = 1,874.72 : x
  2. Step 2: Convert to fraction form
    6,034.92/9,053.80 = 1,874.72/x
  3. Step 3: Cross multiply
    6,034.92x = 9,053.80 × 1,874.72
  4. Step 4: Simplify right side
    6,034.92x = 16,973,339.94
  5. Step 5: Solve for x
    x = 16,973,339.94/6,034.92
  6. Step 6: Final answer
    x = 2,812.52

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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.