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Finding the Fourth Proportional to 4,672.50, 6,448.05 and 2,576.82

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Solution

The fourth proportional to 4,672.50, 6,448.05 and 2,576.82 is: 3,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.50 : 6,448.05 = 2,576.82 : x
  2. Step 2: Convert to fraction form
    4,672.50/6,448.05 = 2,576.82/x
  3. Step 3: Cross multiply
    4,672.50x = 6,448.05 × 2,576.82
  4. Step 4: Simplify right side
    4,672.50x = 16,615,464.20
  5. Step 5: Solve for x
    x = 16,615,464.20/4,672.50
  6. Step 6: Final answer
    x = 3,556.01

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1.5x scale

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.