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Finding the Fourth Proportional to 5,252.69, 7,197.28 and 5,174.93

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Solution

The fourth proportional to 5,252.69, 7,197.28 and 5,174.93 is: 7,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.69 : 7,197.28 = 5,174.93 : x
  2. Step 2: Convert to fraction form
    5,252.69/7,197.28 = 5,174.93/x
  3. Step 3: Cross multiply
    5,252.69x = 7,197.28 × 5,174.93
  4. Step 4: Simplify right side
    5,252.69x = 37,245,433.13
  5. Step 5: Solve for x
    x = 37,245,433.13/5,252.69
  6. Step 6: Final answer
    x = 7,090.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.