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Finding the Fourth Proportional to 6,064.72, 9,097.26 and 1,682.50

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Solution

The fourth proportional to 6,064.72, 9,097.26 and 1,682.50 is: 2,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.72 : 9,097.26 = 1,682.50 : x
  2. Step 2: Convert to fraction form
    6,064.72/9,097.26 = 1,682.50/x
  3. Step 3: Cross multiply
    6,064.72x = 9,097.26 × 1,682.50
  4. Step 4: Simplify right side
    6,064.72x = 15,306,139.95
  5. Step 5: Solve for x
    x = 15,306,139.95/6,064.72
  6. Step 6: Final answer
    x = 2,523.80

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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.