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Finding the Fourth Proportional to 12,284.54, 16,952.94 and 7,249.99

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Solution

The fourth proportional to 12,284.54, 16,952.94 and 7,249.99 is: 10,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.54 : 16,952.94 = 7,249.99 : x
  2. Step 2: Convert to fraction form
    12,284.54/16,952.94 = 7,249.99/x
  3. Step 3: Cross multiply
    12,284.54x = 16,952.94 × 7,249.99
  4. Step 4: Simplify right side
    12,284.54x = 122,908,645.47
  5. Step 5: Solve for x
    x = 122,908,645.47/12,284.54
  6. Step 6: Final answer
    x = 10,005.15

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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.