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Finding the Fourth Proportional to 4,190.24, 6,324.74 and 4,190.24

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Solution

The fourth proportional to 4,190.24, 6,324.74 and 4,190.24 is: 6,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.24 : 6,324.74 = 4,190.24 : x
  2. Step 2: Convert to fraction form
    4,190.24/6,324.74 = 4,190.24/x
  3. Step 3: Cross multiply
    4,190.24x = 6,324.74 × 4,190.24
  4. Step 4: Simplify right side
    4,190.24x = 26,502,178.54
  5. Step 5: Solve for x
    x = 26,502,178.54/4,190.24
  6. Step 6: Final answer
    x = 6,324.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.