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Finding the Fourth Proportional to 8,481.77, 11,706.24 and 4,706.15

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Solution

The fourth proportional to 8,481.77, 11,706.24 and 4,706.15 is: 6,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.77 : 11,706.24 = 4,706.15 : x
  2. Step 2: Convert to fraction form
    8,481.77/11,706.24 = 4,706.15/x
  3. Step 3: Cross multiply
    8,481.77x = 11,706.24 × 4,706.15
  4. Step 4: Simplify right side
    8,481.77x = 55,091,245.20
  5. Step 5: Solve for x
    x = 55,091,245.20/8,481.77
  6. Step 6: Final answer
    x = 6,495.26

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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.