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Finding the Fourth Proportional to 7,707.24, 10,616.94 and 7,311.96

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Solution

The fourth proportional to 7,707.24, 10,616.94 and 7,311.96 is: 10,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.24 : 10,616.94 = 7,311.96 : x
  2. Step 2: Convert to fraction form
    7,707.24/10,616.94 = 7,311.96/x
  3. Step 3: Cross multiply
    7,707.24x = 10,616.94 × 7,311.96
  4. Step 4: Simplify right side
    7,707.24x = 77,630,640.60
  5. Step 5: Solve for x
    x = 77,630,640.60/7,707.24
  6. Step 6: Final answer
    x = 10,072.43

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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.