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Finding the Fourth Proportional to 9,706.77, 13,391.13 and 6,168.09

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Solution

The fourth proportional to 9,706.77, 13,391.13 and 6,168.09 is: 8,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.77 : 13,391.13 = 6,168.09 : x
  2. Step 2: Convert to fraction form
    9,706.77/13,391.13 = 6,168.09/x
  3. Step 3: Cross multiply
    9,706.77x = 13,391.13 × 6,168.09
  4. Step 4: Simplify right side
    9,706.77x = 82,597,628.09
  5. Step 5: Solve for x
    x = 82,597,628.09/9,706.77
  6. Step 6: Final answer
    x = 8,509.28

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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.