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Finding the Fourth Proportional to 5,097.54, 7,646.32 and 1,399.82

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Solution

The fourth proportional to 5,097.54, 7,646.32 and 1,399.82 is: 2,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.54 : 7,646.32 = 1,399.82 : x
  2. Step 2: Convert to fraction form
    5,097.54/7,646.32 = 1,399.82/x
  3. Step 3: Cross multiply
    5,097.54x = 7,646.32 × 1,399.82
  4. Step 4: Simplify right side
    5,097.54x = 10,703,429.93
  5. Step 5: Solve for x
    x = 10,703,429.93/5,097.54
  6. Step 6: Final answer
    x = 2,099.72

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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.