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Finding the Fourth Proportional to 9,744.94, 14,614.10 and 3,169.49

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Solution

The fourth proportional to 9,744.94, 14,614.10 and 3,169.49 is: 4,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.94 : 14,614.10 = 3,169.49 : x
  2. Step 2: Convert to fraction form
    9,744.94/14,614.10 = 3,169.49/x
  3. Step 3: Cross multiply
    9,744.94x = 14,614.10 × 3,169.49
  4. Step 4: Simplify right side
    9,744.94x = 46,319,227.96
  5. Step 5: Solve for x
    x = 46,319,227.96/9,744.94
  6. Step 6: Final answer
    x = 4,753.16

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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.