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Finding the Fourth Proportional to 12,951.76, 17,873.36 and 7,362.80

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Solution

The fourth proportional to 12,951.76, 17,873.36 and 7,362.80 is: 10,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.76 : 17,873.36 = 7,362.80 : x
  2. Step 2: Convert to fraction form
    12,951.76/17,873.36 = 7,362.80/x
  3. Step 3: Cross multiply
    12,951.76x = 17,873.36 × 7,362.80
  4. Step 4: Simplify right side
    12,951.76x = 131,597,975.01
  5. Step 5: Solve for x
    x = 131,597,975.01/12,951.76
  6. Step 6: Final answer
    x = 10,160.62

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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.