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Finding the Fourth Proportional to 15,273, 22,902.12 and 5,906.16

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Solution

The fourth proportional to 15,273, 22,902.12 and 5,906.16 is: 8,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,273 : 22,902.12 = 5,906.16 : x
  2. Step 2: Convert to fraction form
    15,273/22,902.12 = 5,906.16/x
  3. Step 3: Cross multiply
    15,273x = 22,902.12 × 5,906.16
  4. Step 4: Simplify right side
    15,273x = 135,263,585.06
  5. Step 5: Solve for x
    x = 135,263,585.06/15,273
  6. Step 6: Final answer
    x = 8,856.39

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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.