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Finding the Fourth Proportional to 11,574.88, 17,363.12 and 4,649.38

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Solution

The fourth proportional to 11,574.88, 17,363.12 and 4,649.38 is: 6,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.88 : 17,363.12 = 4,649.38 : x
  2. Step 2: Convert to fraction form
    11,574.88/17,363.12 = 4,649.38/x
  3. Step 3: Cross multiply
    11,574.88x = 17,363.12 × 4,649.38
  4. Step 4: Simplify right side
    11,574.88x = 80,727,742.87
  5. Step 5: Solve for x
    x = 80,727,742.87/11,574.88
  6. Step 6: Final answer
    x = 6,974.39

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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.