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Finding the Fourth Proportional to 7,649.71, 11,475.20 and 3,267.20

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Solution

The fourth proportional to 7,649.71, 11,475.20 and 3,267.20 is: 4,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.71 : 11,475.20 = 3,267.20 : x
  2. Step 2: Convert to fraction form
    7,649.71/11,475.20 = 3,267.20/x
  3. Step 3: Cross multiply
    7,649.71x = 11,475.20 × 3,267.20
  4. Step 4: Simplify right side
    7,649.71x = 37,491,810.30
  5. Step 5: Solve for x
    x = 37,491,810.30/7,649.71
  6. Step 6: Final answer
    x = 4,901.08

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1.5x scale

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.