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Finding the Fourth Proportional to 9,706.67, 13,381.08 and 6,865.19

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Solution

The fourth proportional to 9,706.67, 13,381.08 and 6,865.19 is: 9,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.67 : 13,381.08 = 6,865.19 : x
  2. Step 2: Convert to fraction form
    9,706.67/13,381.08 = 6,865.19/x
  3. Step 3: Cross multiply
    9,706.67x = 13,381.08 × 6,865.19
  4. Step 4: Simplify right side
    9,706.67x = 91,863,589.70
  5. Step 5: Solve for x
    x = 91,863,589.70/9,706.67
  6. Step 6: Final answer
    x = 9,463.97

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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.