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Finding the Fourth Proportional to 8,234.34, 11,362.41 and 4,649.06

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Solution

The fourth proportional to 8,234.34, 11,362.41 and 4,649.06 is: 6,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.34 : 11,362.41 = 4,649.06 : x
  2. Step 2: Convert to fraction form
    8,234.34/11,362.41 = 4,649.06/x
  3. Step 3: Cross multiply
    8,234.34x = 11,362.41 × 4,649.06
  4. Step 4: Simplify right side
    8,234.34x = 52,824,469.02
  5. Step 5: Solve for x
    x = 52,824,469.02/8,234.34
  6. Step 6: Final answer
    x = 6,415.14

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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.