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Finding the Fourth Proportional to 6,411.73, 9,601.53 and 4,064.62

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Solution

The fourth proportional to 6,411.73, 9,601.53 and 4,064.62 is: 6,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.73 : 9,601.53 = 4,064.62 : x
  2. Step 2: Convert to fraction form
    6,411.73/9,601.53 = 4,064.62/x
  3. Step 3: Cross multiply
    6,411.73x = 9,601.53 × 4,064.62
  4. Step 4: Simplify right side
    6,411.73x = 39,026,570.87
  5. Step 5: Solve for x
    x = 39,026,570.87/6,411.73
  6. Step 6: Final answer
    x = 6,086.75

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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.