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Finding the Fourth Proportional to 5,996.98, 8,286.84 and 5,708.91

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Solution

The fourth proportional to 5,996.98, 8,286.84 and 5,708.91 is: 7,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.98 : 8,286.84 = 5,708.91 : x
  2. Step 2: Convert to fraction form
    5,996.98/8,286.84 = 5,708.91/x
  3. Step 3: Cross multiply
    5,996.98x = 8,286.84 × 5,708.91
  4. Step 4: Simplify right side
    5,996.98x = 47,308,823.74
  5. Step 5: Solve for x
    x = 47,308,823.74/5,996.98
  6. Step 6: Final answer
    x = 7,888.77

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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.