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Finding the Fourth Proportional to 6,732.01, 10,092.97 and 4,646.06

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Solution

The fourth proportional to 6,732.01, 10,092.97 and 4,646.06 is: 6,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.01 : 10,092.97 = 4,646.06 : x
  2. Step 2: Convert to fraction form
    6,732.01/10,092.97 = 4,646.06/x
  3. Step 3: Cross multiply
    6,732.01x = 10,092.97 × 4,646.06
  4. Step 4: Simplify right side
    6,732.01x = 46,892,544.20
  5. Step 5: Solve for x
    x = 46,892,544.20/6,732.01
  6. Step 6: Final answer
    x = 6,965.61

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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.