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Finding the Fourth Proportional to 12,048.57, 18,055.08 and 6,786.12

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Solution

The fourth proportional to 12,048.57, 18,055.08 and 6,786.12 is: 10,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.57 : 18,055.08 = 6,786.12 : x
  2. Step 2: Convert to fraction form
    12,048.57/18,055.08 = 6,786.12/x
  3. Step 3: Cross multiply
    12,048.57x = 18,055.08 × 6,786.12
  4. Step 4: Simplify right side
    12,048.57x = 122,523,939.49
  5. Step 5: Solve for x
    x = 122,523,939.49/12,048.57
  6. Step 6: Final answer
    x = 10,169.17

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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.