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Finding the Fourth Proportional to 14,848.75, 20,492 and 8,224.75

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Solution

The fourth proportional to 14,848.75, 20,492 and 8,224.75 is: 11,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848.75 : 20,492 = 8,224.75 : x
  2. Step 2: Convert to fraction form
    14,848.75/20,492 = 8,224.75/x
  3. Step 3: Cross multiply
    14,848.75x = 20,492 × 8,224.75
  4. Step 4: Simplify right side
    14,848.75x = 168,541,577
  5. Step 5: Solve for x
    x = 168,541,577/14,848.75
  6. Step 6: Final answer
    x = 11,350.56

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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.