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Finding the Fourth Proportional to 16,274.65, 24,407.44 and 5,743.30

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Solution

The fourth proportional to 16,274.65, 24,407.44 and 5,743.30 is: 8,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.65 : 24,407.44 = 5,743.30 : x
  2. Step 2: Convert to fraction form
    16,274.65/24,407.44 = 5,743.30/x
  3. Step 3: Cross multiply
    16,274.65x = 24,407.44 × 5,743.30
  4. Step 4: Simplify right side
    16,274.65x = 140,179,174.78
  5. Step 5: Solve for x
    x = 140,179,174.78/16,274.65
  6. Step 6: Final answer
    x = 8,613.35

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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.