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Finding the Fourth Proportional to 10,682.16, 16,011 and 4,104.96

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Solution

The fourth proportional to 10,682.16, 16,011 and 4,104.96 is: 6,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.16 : 16,011 = 4,104.96 : x
  2. Step 2: Convert to fraction form
    10,682.16/16,011 = 4,104.96/x
  3. Step 3: Cross multiply
    10,682.16x = 16,011 × 4,104.96
  4. Step 4: Simplify right side
    10,682.16x = 65,724,514.56
  5. Step 5: Solve for x
    x = 65,724,514.56/10,682.16
  6. Step 6: Final answer
    x = 6,152.74

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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.