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Finding the Fourth Proportional to 10,705.58, 16,060.74 and 3,208.84

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Solution

The fourth proportional to 10,705.58, 16,060.74 and 3,208.84 is: 4,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.58 : 16,060.74 = 3,208.84 : x
  2. Step 2: Convert to fraction form
    10,705.58/16,060.74 = 3,208.84/x
  3. Step 3: Cross multiply
    10,705.58x = 16,060.74 × 3,208.84
  4. Step 4: Simplify right side
    10,705.58x = 51,536,344.94
  5. Step 5: Solve for x
    x = 51,536,344.94/10,705.58
  6. Step 6: Final answer
    x = 4,813.97

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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.