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Finding the Fourth Proportional to 18,658.26, 27,978.53 and 6,803.64

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Solution

The fourth proportional to 18,658.26, 27,978.53 and 6,803.64 is: 10,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.26 : 27,978.53 = 6,803.64 : x
  2. Step 2: Convert to fraction form
    18,658.26/27,978.53 = 6,803.64/x
  3. Step 3: Cross multiply
    18,658.26x = 27,978.53 × 6,803.64
  4. Step 4: Simplify right side
    18,658.26x = 190,355,811.83
  5. Step 5: Solve for x
    x = 190,355,811.83/18,658.26
  6. Step 6: Final answer
    x = 10,202.23

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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.