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Finding the Fourth Proportional to 6,384.66, 8,815.17 and 4,706.26

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Solution

The fourth proportional to 6,384.66, 8,815.17 and 4,706.26 is: 6,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.66 : 8,815.17 = 4,706.26 : x
  2. Step 2: Convert to fraction form
    6,384.66/8,815.17 = 4,706.26/x
  3. Step 3: Cross multiply
    6,384.66x = 8,815.17 × 4,706.26
  4. Step 4: Simplify right side
    6,384.66x = 41,486,481.96
  5. Step 5: Solve for x
    x = 41,486,481.96/6,384.66
  6. Step 6: Final answer
    x = 6,497.84

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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.