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Finding the Fourth Proportional to 6,098.37, 9,146.49 and 1,714.78

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Solution

The fourth proportional to 6,098.37, 9,146.49 and 1,714.78 is: 2,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.37 : 9,146.49 = 1,714.78 : x
  2. Step 2: Convert to fraction form
    6,098.37/9,146.49 = 1,714.78/x
  3. Step 3: Cross multiply
    6,098.37x = 9,146.49 × 1,714.78
  4. Step 4: Simplify right side
    6,098.37x = 15,684,223.12
  5. Step 5: Solve for x
    x = 15,684,223.12/6,098.37
  6. Step 6: Final answer
    x = 2,571.87

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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.