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Finding the Fourth Proportional to 6,138.93, 9,208.71 and 1,757.04

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Solution

The fourth proportional to 6,138.93, 9,208.71 and 1,757.04 is: 2,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.93 : 9,208.71 = 1,757.04 : x
  2. Step 2: Convert to fraction form
    6,138.93/9,208.71 = 1,757.04/x
  3. Step 3: Cross multiply
    6,138.93x = 9,208.71 × 1,757.04
  4. Step 4: Simplify right side
    6,138.93x = 16,180,071.82
  5. Step 5: Solve for x
    x = 16,180,071.82/6,138.93
  6. Step 6: Final answer
    x = 2,635.65

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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.