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Finding the Fourth Proportional to 4,097.66, 6,146.48 and 1,499.99

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Solution

The fourth proportional to 4,097.66, 6,146.48 and 1,499.99 is: 2,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.66 : 6,146.48 = 1,499.99 : x
  2. Step 2: Convert to fraction form
    4,097.66/6,146.48 = 1,499.99/x
  3. Step 3: Cross multiply
    4,097.66x = 6,146.48 × 1,499.99
  4. Step 4: Simplify right side
    4,097.66x = 9,219,631.55
  5. Step 5: Solve for x
    x = 9,219,631.55/4,097.66
  6. Step 6: Final answer
    x = 2,249.98

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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.