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Finding the Fourth Proportional to 9,708.96, 13,392.63 and 6,169.26

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Solution

The fourth proportional to 9,708.96, 13,392.63 and 6,169.26 is: 8,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.96 : 13,392.63 = 6,169.26 : x
  2. Step 2: Convert to fraction form
    9,708.96/13,392.63 = 6,169.26/x
  3. Step 3: Cross multiply
    9,708.96x = 13,392.63 × 6,169.26
  4. Step 4: Simplify right side
    9,708.96x = 82,622,616.55
  5. Step 5: Solve for x
    x = 82,622,616.55/9,708.96
  6. Step 6: Final answer
    x = 8,509.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.