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Finding the Fourth Proportional to 5,343, 7,367.02 and 3,665.24

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Solution

The fourth proportional to 5,343, 7,367.02 and 3,665.24 is: 5,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343 : 7,367.02 = 3,665.24 : x
  2. Step 2: Convert to fraction form
    5,343/7,367.02 = 3,665.24/x
  3. Step 3: Cross multiply
    5,343x = 7,367.02 × 3,665.24
  4. Step 4: Simplify right side
    5,343x = 27,001,896.38
  5. Step 5: Solve for x
    x = 27,001,896.38/5,343
  6. Step 6: Final answer
    x = 5,053.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.