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Finding the Fourth Proportional to 4,097.74, 6,146 and 1,500.68

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Solution

The fourth proportional to 4,097.74, 6,146 and 1,500.68 is: 2,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.74 : 6,146 = 1,500.68 : x
  2. Step 2: Convert to fraction form
    4,097.74/6,146 = 1,500.68/x
  3. Step 3: Cross multiply
    4,097.74x = 6,146 × 1,500.68
  4. Step 4: Simplify right side
    4,097.74x = 9,223,179.28
  5. Step 5: Solve for x
    x = 9,223,179.28/4,097.74
  6. Step 6: Final answer
    x = 2,250.80

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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.