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Finding the Fourth Proportional to 6,116.70, 8,589.30 and 6,116.70

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Solution

The fourth proportional to 6,116.70, 8,589.30 and 6,116.70 is: 8,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.70 : 8,589.30 = 6,116.70 : x
  2. Step 2: Convert to fraction form
    6,116.70/8,589.30 = 6,116.70/x
  3. Step 3: Cross multiply
    6,116.70x = 8,589.30 × 6,116.70
  4. Step 4: Simplify right side
    6,116.70x = 52,538,171.31
  5. Step 5: Solve for x
    x = 52,538,171.31/6,116.70
  6. Step 6: Final answer
    x = 8,589.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.