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Finding the Fourth Proportional to 13,213.10, 19,789.22 and 7,652.64

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Solution

The fourth proportional to 13,213.10, 19,789.22 and 7,652.64 is: 11,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.10 : 19,789.22 = 7,652.64 : x
  2. Step 2: Convert to fraction form
    13,213.10/19,789.22 = 7,652.64/x
  3. Step 3: Cross multiply
    13,213.10x = 19,789.22 × 7,652.64
  4. Step 4: Simplify right side
    13,213.10x = 151,439,738.28
  5. Step 5: Solve for x
    x = 151,439,738.28/13,213.10
  6. Step 6: Final answer
    x = 11,461.34

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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.