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Finding the Fourth Proportional to 12,008.05, 16,571.39 and 7,531.99

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Solution

The fourth proportional to 12,008.05, 16,571.39 and 7,531.99 is: 10,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.05 : 16,571.39 = 7,531.99 : x
  2. Step 2: Convert to fraction form
    12,008.05/16,571.39 = 7,531.99/x
  3. Step 3: Cross multiply
    12,008.05x = 16,571.39 × 7,531.99
  4. Step 4: Simplify right side
    12,008.05x = 124,815,464.68
  5. Step 5: Solve for x
    x = 124,815,464.68/12,008.05
  6. Step 6: Final answer
    x = 10,394.32

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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.