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Finding the Fourth Proportional to 16,649.84, 24,971.74 and 7,288.04

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Solution

The fourth proportional to 16,649.84, 24,971.74 and 7,288.04 is: 10,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.84 : 24,971.74 = 7,288.04 : x
  2. Step 2: Convert to fraction form
    16,649.84/24,971.74 = 7,288.04/x
  3. Step 3: Cross multiply
    16,649.84x = 24,971.74 × 7,288.04
  4. Step 4: Simplify right side
    16,649.84x = 181,995,039.99
  5. Step 5: Solve for x
    x = 181,995,039.99/16,649.84
  6. Step 6: Final answer
    x = 10,930.74

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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.