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Finding the Fourth Proportional to 6,465.54, 9,698.31 and 2,083.08

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Solution

The fourth proportional to 6,465.54, 9,698.31 and 2,083.08 is: 3,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.54 : 9,698.31 = 2,083.08 : x
  2. Step 2: Convert to fraction form
    6,465.54/9,698.31 = 2,083.08/x
  3. Step 3: Cross multiply
    6,465.54x = 9,698.31 × 2,083.08
  4. Step 4: Simplify right side
    6,465.54x = 20,202,355.59
  5. Step 5: Solve for x
    x = 20,202,355.59/6,465.54
  6. Step 6: Final answer
    x = 3,124.62

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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.