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Finding the Fourth Proportional to 13,857.84, 20,795.22 and 7,288.74

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Solution

The fourth proportional to 13,857.84, 20,795.22 and 7,288.74 is: 10,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.84 : 20,795.22 = 7,288.74 : x
  2. Step 2: Convert to fraction form
    13,857.84/20,795.22 = 7,288.74/x
  3. Step 3: Cross multiply
    13,857.84x = 20,795.22 × 7,288.74
  4. Step 4: Simplify right side
    13,857.84x = 151,570,951.82
  5. Step 5: Solve for x
    x = 151,570,951.82/13,857.84
  6. Step 6: Final answer
    x = 10,937.56

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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.