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Finding the Fourth Proportional to 11,242.74, 16,864.12 and 2,922.06

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Solution

The fourth proportional to 11,242.74, 16,864.12 and 2,922.06 is: 4,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.74 : 16,864.12 = 2,922.06 : x
  2. Step 2: Convert to fraction form
    11,242.74/16,864.12 = 2,922.06/x
  3. Step 3: Cross multiply
    11,242.74x = 16,864.12 × 2,922.06
  4. Step 4: Simplify right side
    11,242.74x = 49,277,970.49
  5. Step 5: Solve for x
    x = 49,277,970.49/11,242.74
  6. Step 6: Final answer
    x = 4,383.09

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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.