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Finding the Fourth Proportional to 6,507.54, 9,761.06 and 2,758.29

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Solution

The fourth proportional to 6,507.54, 9,761.06 and 2,758.29 is: 4,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.54 : 9,761.06 = 2,758.29 : x
  2. Step 2: Convert to fraction form
    6,507.54/9,761.06 = 2,758.29/x
  3. Step 3: Cross multiply
    6,507.54x = 9,761.06 × 2,758.29
  4. Step 4: Simplify right side
    6,507.54x = 26,923,820.40
  5. Step 5: Solve for x
    x = 26,923,820.40/6,507.54
  6. Step 6: Final answer
    x = 4,137.33

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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.