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Finding the Fourth Proportional to 6,674.63, 10,012.63 and 2,291.52

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Solution

The fourth proportional to 6,674.63, 10,012.63 and 2,291.52 is: 3,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.63 : 10,012.63 = 2,291.52 : x
  2. Step 2: Convert to fraction form
    6,674.63/10,012.63 = 2,291.52/x
  3. Step 3: Cross multiply
    6,674.63x = 10,012.63 × 2,291.52
  4. Step 4: Simplify right side
    6,674.63x = 22,944,141.90
  5. Step 5: Solve for x
    x = 22,944,141.90/6,674.63
  6. Step 6: Final answer
    x = 3,437.52

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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.