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Finding the Fourth Proportional to 6,852, 10,257.84 and 4,645.92

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Solution

The fourth proportional to 6,852, 10,257.84 and 4,645.92 is: 6,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852 : 10,257.84 = 4,645.92 : x
  2. Step 2: Convert to fraction form
    6,852/10,257.84 = 4,645.92/x
  3. Step 3: Cross multiply
    6,852x = 10,257.84 × 4,645.92
  4. Step 4: Simplify right side
    6,852x = 47,657,104.01
  5. Step 5: Solve for x
    x = 47,657,104.01/6,852
  6. Step 6: Final answer
    x = 6,955.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.