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Finding the Fourth Proportional to 14,727, 20,323.44 and 8,439.60

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Solution

The fourth proportional to 14,727, 20,323.44 and 8,439.60 is: 11,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 20,323.44 = 8,439.60 : x
  2. Step 2: Convert to fraction form
    14,727/20,323.44 = 8,439.60/x
  3. Step 3: Cross multiply
    14,727x = 20,323.44 × 8,439.60
  4. Step 4: Simplify right side
    14,727x = 171,521,704.22
  5. Step 5: Solve for x
    x = 171,521,704.22/14,727
  6. Step 6: Final answer
    x = 11,646.75

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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.