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Finding the Fourth Proportional to 6,311.17, 8,706.10 and 4,816.49

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Solution

The fourth proportional to 6,311.17, 8,706.10 and 4,816.49 is: 6,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.17 : 8,706.10 = 4,816.49 : x
  2. Step 2: Convert to fraction form
    6,311.17/8,706.10 = 4,816.49/x
  3. Step 3: Cross multiply
    6,311.17x = 8,706.10 × 4,816.49
  4. Step 4: Simplify right side
    6,311.17x = 41,932,775.98
  5. Step 5: Solve for x
    x = 41,932,775.98/6,311.17
  6. Step 6: Final answer
    x = 6,644.22

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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.