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Finding the Fourth Proportional to 11,142.99, 16,714.49 and 4,564.69

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Solution

The fourth proportional to 11,142.99, 16,714.49 and 4,564.69 is: 6,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.99 : 16,714.49 = 4,564.69 : x
  2. Step 2: Convert to fraction form
    11,142.99/16,714.49 = 4,564.69/x
  3. Step 3: Cross multiply
    11,142.99x = 16,714.49 × 4,564.69
  4. Step 4: Simplify right side
    11,142.99x = 76,296,400.75
  5. Step 5: Solve for x
    x = 76,296,400.75/11,142.99
  6. Step 6: Final answer
    x = 6,847.03

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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.