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Finding the Fourth Proportional to 15,989.97, 23,984.97 and 5,997

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Solution

The fourth proportional to 15,989.97, 23,984.97 and 5,997 is: 8,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989.97 : 23,984.97 = 5,997 : x
  2. Step 2: Convert to fraction form
    15,989.97/23,984.97 = 5,997/x
  3. Step 3: Cross multiply
    15,989.97x = 23,984.97 × 5,997
  4. Step 4: Simplify right side
    15,989.97x = 143,837,865.09
  5. Step 5: Solve for x
    x = 143,837,865.09/15,989.97
  6. Step 6: Final answer
    x = 8,995.51

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Half scale
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Double scale
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Similar ratio
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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.