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Finding the Fourth Proportional to 6,512, 8,993.86 and 4,412.48

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Solution

The fourth proportional to 6,512, 8,993.86 and 4,412.48 is: 6,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 8,993.86 = 4,412.48 : x
  2. Step 2: Convert to fraction form
    6,512/8,993.86 = 4,412.48/x
  3. Step 3: Cross multiply
    6,512x = 8,993.86 × 4,412.48
  4. Step 4: Simplify right side
    6,512x = 39,685,227.37
  5. Step 5: Solve for x
    x = 39,685,227.37/6,512
  6. Step 6: Final answer
    x = 6,094.17

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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.