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Finding the Fourth Proportional to 15,114.56, 20,857.74 and 8,399.84

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Solution

The fourth proportional to 15,114.56, 20,857.74 and 8,399.84 is: 11,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.56 : 20,857.74 = 8,399.84 : x
  2. Step 2: Convert to fraction form
    15,114.56/20,857.74 = 8,399.84/x
  3. Step 3: Cross multiply
    15,114.56x = 20,857.74 × 8,399.84
  4. Step 4: Simplify right side
    15,114.56x = 175,201,678.76
  5. Step 5: Solve for x
    x = 175,201,678.76/15,114.56
  6. Step 6: Final answer
    x = 11,591.58

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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.