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Finding the Fourth Proportional to 21,264.60, 31,896.90 and 5,469.60

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Solution

The fourth proportional to 21,264.60, 31,896.90 and 5,469.60 is: 8,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.60 : 31,896.90 = 5,469.60 : x
  2. Step 2: Convert to fraction form
    21,264.60/31,896.90 = 5,469.60/x
  3. Step 3: Cross multiply
    21,264.60x = 31,896.90 × 5,469.60
  4. Step 4: Simplify right side
    21,264.60x = 174,463,284.24
  5. Step 5: Solve for x
    x = 174,463,284.24/21,264.60
  6. Step 6: Final answer
    x = 8,204.40

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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.