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Finding the Fourth Proportional to 6,137.70, 9,206.46 and 1,754.58

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Solution

The fourth proportional to 6,137.70, 9,206.46 and 1,754.58 is: 2,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.70 : 9,206.46 = 1,754.58 : x
  2. Step 2: Convert to fraction form
    6,137.70/9,206.46 = 1,754.58/x
  3. Step 3: Cross multiply
    6,137.70x = 9,206.46 × 1,754.58
  4. Step 4: Simplify right side
    6,137.70x = 16,153,470.59
  5. Step 5: Solve for x
    x = 16,153,470.59/6,137.70
  6. Step 6: Final answer
    x = 2,631.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.