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Finding the Fourth Proportional to 6,351, 8,762.35 and 4,114.59

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Solution

The fourth proportional to 6,351, 8,762.35 and 4,114.59 is: 5,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351 : 8,762.35 = 4,114.59 : x
  2. Step 2: Convert to fraction form
    6,351/8,762.35 = 4,114.59/x
  3. Step 3: Cross multiply
    6,351x = 8,762.35 × 4,114.59
  4. Step 4: Simplify right side
    6,351x = 36,053,477.69
  5. Step 5: Solve for x
    x = 36,053,477.69/6,351
  6. Step 6: Final answer
    x = 5,676.82

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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.