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Finding the Fourth Proportional to 18,224.84, 27,332.40 and 7,834.16

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Solution

The fourth proportional to 18,224.84, 27,332.40 and 7,834.16 is: 11,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.84 : 27,332.40 = 7,834.16 : x
  2. Step 2: Convert to fraction form
    18,224.84/27,332.40 = 7,834.16/x
  3. Step 3: Cross multiply
    18,224.84x = 27,332.40 × 7,834.16
  4. Step 4: Simplify right side
    18,224.84x = 214,126,394.78
  5. Step 5: Solve for x
    x = 214,126,394.78/18,224.84
  6. Step 6: Final answer
    x = 11,749.15

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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.