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Finding the Fourth Proportional to 7,706.72, 11,559.72 and 2,084.60

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Solution

The fourth proportional to 7,706.72, 11,559.72 and 2,084.60 is: 3,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.72 : 11,559.72 = 2,084.60 : x
  2. Step 2: Convert to fraction form
    7,706.72/11,559.72 = 2,084.60/x
  3. Step 3: Cross multiply
    7,706.72x = 11,559.72 × 2,084.60
  4. Step 4: Simplify right side
    7,706.72x = 24,097,392.31
  5. Step 5: Solve for x
    x = 24,097,392.31/7,706.72
  6. Step 6: Final answer
    x = 3,126.80

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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.