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Finding the Fourth Proportional to 6,402.54, 8,837.20 and 5,738.24

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Solution

The fourth proportional to 6,402.54, 8,837.20 and 5,738.24 is: 7,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.54 : 8,837.20 = 5,738.24 : x
  2. Step 2: Convert to fraction form
    6,402.54/8,837.20 = 5,738.24/x
  3. Step 3: Cross multiply
    6,402.54x = 8,837.20 × 5,738.24
  4. Step 4: Simplify right side
    6,402.54x = 50,710,003.79
  5. Step 5: Solve for x
    x = 50,710,003.79/6,402.54
  6. Step 6: Final answer
    x = 7,920.29

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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.