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Finding the Fourth Proportional to 7,706.10, 11,552.40 and 5,232.90

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Solution

The fourth proportional to 7,706.10, 11,552.40 and 5,232.90 is: 7,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.10 : 11,552.40 = 5,232.90 : x
  2. Step 2: Convert to fraction form
    7,706.10/11,552.40 = 5,232.90/x
  3. Step 3: Cross multiply
    7,706.10x = 11,552.40 × 5,232.90
  4. Step 4: Simplify right side
    7,706.10x = 60,452,553.96
  5. Step 5: Solve for x
    x = 60,452,553.96/7,706.10
  6. Step 6: Final answer
    x = 7,844.77

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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.