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Finding the Fourth Proportional to 15,741, 23,613.12 and 4,650.48

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Solution

The fourth proportional to 15,741, 23,613.12 and 4,650.48 is: 6,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 23,613.12 = 4,650.48 : x
  2. Step 2: Convert to fraction form
    15,741/23,613.12 = 4,650.48/x
  3. Step 3: Cross multiply
    15,741x = 23,613.12 × 4,650.48
  4. Step 4: Simplify right side
    15,741x = 109,812,342.30
  5. Step 5: Solve for x
    x = 109,812,342.30/15,741
  6. Step 6: Final answer
    x = 6,976.20

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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.