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Finding the Fourth Proportional to 7,706.76, 11,559.60 and 4,409.52

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Solution

The fourth proportional to 7,706.76, 11,559.60 and 4,409.52 is: 6,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.76 : 11,559.60 = 4,409.52 : x
  2. Step 2: Convert to fraction form
    7,706.76/11,559.60 = 4,409.52/x
  3. Step 3: Cross multiply
    7,706.76x = 11,559.60 × 4,409.52
  4. Step 4: Simplify right side
    7,706.76x = 50,972,287.39
  5. Step 5: Solve for x
    x = 50,972,287.39/7,706.76
  6. Step 6: Final answer
    x = 6,613.97

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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.