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Finding the Fourth Proportional to 12,000.40, 16,552.83 and 7,284.68

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Solution

The fourth proportional to 12,000.40, 16,552.83 and 7,284.68 is: 10,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.40 : 16,552.83 = 7,284.68 : x
  2. Step 2: Convert to fraction form
    12,000.40/16,552.83 = 7,284.68/x
  3. Step 3: Cross multiply
    12,000.40x = 16,552.83 × 7,284.68
  4. Step 4: Simplify right side
    12,000.40x = 120,582,076.27
  5. Step 5: Solve for x
    x = 120,582,076.27/12,000.40
  6. Step 6: Final answer
    x = 10,048.17

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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.