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Finding the Fourth Proportional to 14,771.74, 22,151.90 and 5,764.74

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Solution

The fourth proportional to 14,771.74, 22,151.90 and 5,764.74 is: 8,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.74 : 22,151.90 = 5,764.74 : x
  2. Step 2: Convert to fraction form
    14,771.74/22,151.90 = 5,764.74/x
  3. Step 3: Cross multiply
    14,771.74x = 22,151.90 × 5,764.74
  4. Step 4: Simplify right side
    14,771.74x = 127,699,944.01
  5. Step 5: Solve for x
    x = 127,699,944.01/14,771.74
  6. Step 6: Final answer
    x = 8,644.88

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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.