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Finding the Fourth Proportional to 27,984.84, 41,967.38 and 8,258.12

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Solution

The fourth proportional to 27,984.84, 41,967.38 and 8,258.12 is: 12,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.84 : 41,967.38 = 8,258.12 : x
  2. Step 2: Convert to fraction form
    27,984.84/41,967.38 = 8,258.12/x
  3. Step 3: Cross multiply
    27,984.84x = 41,967.38 × 8,258.12
  4. Step 4: Simplify right side
    27,984.84x = 346,571,660.13
  5. Step 5: Solve for x
    x = 346,571,660.13/27,984.84
  6. Step 6: Final answer
    x = 12,384.26

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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.