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Finding the Fourth Proportional to 7,706.73, 11,559.18 and 2,160.48

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Solution

The fourth proportional to 7,706.73, 11,559.18 and 2,160.48 is: 3,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.73 : 11,559.18 = 2,160.48 : x
  2. Step 2: Convert to fraction form
    7,706.73/11,559.18 = 2,160.48/x
  3. Step 3: Cross multiply
    7,706.73x = 11,559.18 × 2,160.48
  4. Step 4: Simplify right side
    7,706.73x = 24,973,377.21
  5. Step 5: Solve for x
    x = 24,973,377.21/7,706.73
  6. Step 6: Final answer
    x = 3,240.46

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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.