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Finding the Fourth Proportional to 6,137.66, 9,206.53 and 1,755.16

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Solution

The fourth proportional to 6,137.66, 9,206.53 and 1,755.16 is: 2,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.66 : 9,206.53 = 1,755.16 : x
  2. Step 2: Convert to fraction form
    6,137.66/9,206.53 = 1,755.16/x
  3. Step 3: Cross multiply
    6,137.66x = 9,206.53 × 1,755.16
  4. Step 4: Simplify right side
    6,137.66x = 16,158,905.79
  5. Step 5: Solve for x
    x = 16,158,905.79/6,137.66
  6. Step 6: Final answer
    x = 2,632.75

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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.