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Finding the Fourth Proportional to 6,411.64, 9,617.64 and 2,029

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Solution

The fourth proportional to 6,411.64, 9,617.64 and 2,029 is: 3,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.64 : 9,617.64 = 2,029 : x
  2. Step 2: Convert to fraction form
    6,411.64/9,617.64 = 2,029/x
  3. Step 3: Cross multiply
    6,411.64x = 9,617.64 × 2,029
  4. Step 4: Simplify right side
    6,411.64x = 19,514,191.56
  5. Step 5: Solve for x
    x = 19,514,191.56/6,411.64
  6. Step 6: Final answer
    x = 3,043.56

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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.