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Finding the Fourth Proportional to 11,753.10, 17,613.07 and 6,490.48

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Solution

The fourth proportional to 11,753.10, 17,613.07 and 6,490.48 is: 9,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.10 : 17,613.07 = 6,490.48 : x
  2. Step 2: Convert to fraction form
    11,753.10/17,613.07 = 6,490.48/x
  3. Step 3: Cross multiply
    11,753.10x = 17,613.07 × 6,490.48
  4. Step 4: Simplify right side
    11,753.10x = 114,317,278.57
  5. Step 5: Solve for x
    x = 114,317,278.57/11,753.10
  6. Step 6: Final answer
    x = 9,726.56

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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.