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Finding the Fourth Proportional to 9,682.80, 14,525.82 and 4,751.79

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Solution

The fourth proportional to 9,682.80, 14,525.82 and 4,751.79 is: 7,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 14,525.82 = 4,751.79 : x
  2. Step 2: Convert to fraction form
    9,682.80/14,525.82 = 4,751.79/x
  3. Step 3: Cross multiply
    9,682.80x = 14,525.82 × 4,751.79
  4. Step 4: Simplify right side
    9,682.80x = 69,023,646.22
  5. Step 5: Solve for x
    x = 69,023,646.22/9,682.80
  6. Step 6: Final answer
    x = 7,128.48

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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.