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Finding the Fourth Proportional to 6,275.22, 9,412.50 and 2,576.52

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Solution

The fourth proportional to 6,275.22, 9,412.50 and 2,576.52 is: 3,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.22 : 9,412.50 = 2,576.52 : x
  2. Step 2: Convert to fraction form
    6,275.22/9,412.50 = 2,576.52/x
  3. Step 3: Cross multiply
    6,275.22x = 9,412.50 × 2,576.52
  4. Step 4: Simplify right side
    6,275.22x = 24,251,494.50
  5. Step 5: Solve for x
    x = 24,251,494.50/6,275.22
  6. Step 6: Final answer
    x = 3,864.64

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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.