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Finding the Fourth Proportional to 6,411.74, 9,617.96 and 2,028.87

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Solution

The fourth proportional to 6,411.74, 9,617.96 and 2,028.87 is: 3,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.74 : 9,617.96 = 2,028.87 : x
  2. Step 2: Convert to fraction form
    6,411.74/9,617.96 = 2,028.87/x
  3. Step 3: Cross multiply
    6,411.74x = 9,617.96 × 2,028.87
  4. Step 4: Simplify right side
    6,411.74x = 19,513,590.51
  5. Step 5: Solve for x
    x = 19,513,590.51/6,411.74
  6. Step 6: Final answer
    x = 3,043.42

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1.5x scale

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.