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Finding the Fourth Proportional to 4,097.76, 6,146.44 and 1,500.50

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Solution

The fourth proportional to 4,097.76, 6,146.44 and 1,500.50 is: 2,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.76 : 6,146.44 = 1,500.50 : x
  2. Step 2: Convert to fraction form
    4,097.76/6,146.44 = 1,500.50/x
  3. Step 3: Cross multiply
    4,097.76x = 6,146.44 × 1,500.50
  4. Step 4: Simplify right side
    4,097.76x = 9,222,733.22
  5. Step 5: Solve for x
    x = 9,222,733.22/4,097.76
  6. Step 6: Final answer
    x = 2,250.68

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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.