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Finding the Fourth Proportional to 13,958.12, 20,944.06 and 6,563.24

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Solution

The fourth proportional to 13,958.12, 20,944.06 and 6,563.24 is: 9,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.12 : 20,944.06 = 6,563.24 : x
  2. Step 2: Convert to fraction form
    13,958.12/20,944.06 = 6,563.24/x
  3. Step 3: Cross multiply
    13,958.12x = 20,944.06 × 6,563.24
  4. Step 4: Simplify right side
    13,958.12x = 137,460,892.35
  5. Step 5: Solve for x
    x = 137,460,892.35/13,958.12
  6. Step 6: Final answer
    x = 9,848.10

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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.