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Finding the Fourth Proportional to 6,705.33, 10,054.74 and 3,932.91

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Solution

The fourth proportional to 6,705.33, 10,054.74 and 3,932.91 is: 5,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.33 : 10,054.74 = 3,932.91 : x
  2. Step 2: Convert to fraction form
    6,705.33/10,054.74 = 3,932.91/x
  3. Step 3: Cross multiply
    6,705.33x = 10,054.74 × 3,932.91
  4. Step 4: Simplify right side
    6,705.33x = 39,544,387.49
  5. Step 5: Solve for x
    x = 39,544,387.49/6,705.33
  6. Step 6: Final answer
    x = 5,897.46

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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.