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Finding the Fourth Proportional to 6,411.83, 9,616.26 and 2,028.47

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Solution

The fourth proportional to 6,411.83, 9,616.26 and 2,028.47 is: 3,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.83 : 9,616.26 = 2,028.47 : x
  2. Step 2: Convert to fraction form
    6,411.83/9,616.26 = 2,028.47/x
  3. Step 3: Cross multiply
    6,411.83x = 9,616.26 × 2,028.47
  4. Step 4: Simplify right side
    6,411.83x = 19,506,294.92
  5. Step 5: Solve for x
    x = 19,506,294.92/6,411.83
  6. Step 6: Final answer
    x = 3,042.24

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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.