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Finding the Fourth Proportional to 13,597.55, 20,401.16 and 6,202.25

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Solution

The fourth proportional to 13,597.55, 20,401.16 and 6,202.25 is: 9,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.55 : 20,401.16 = 6,202.25 : x
  2. Step 2: Convert to fraction form
    13,597.55/20,401.16 = 6,202.25/x
  3. Step 3: Cross multiply
    13,597.55x = 20,401.16 × 6,202.25
  4. Step 4: Simplify right side
    13,597.55x = 126,532,961.59
  5. Step 5: Solve for x
    x = 126,532,961.59/13,597.55
  6. Step 6: Final answer
    x = 9,305.57

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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.