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Finding the Fourth Proportional to 13,597.16, 18,753.50 and 9,834.44

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Solution

The fourth proportional to 13,597.16, 18,753.50 and 9,834.44 is: 13,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.16 : 18,753.50 = 9,834.44 : x
  2. Step 2: Convert to fraction form
    13,597.16/18,753.50 = 9,834.44/x
  3. Step 3: Cross multiply
    13,597.16x = 18,753.50 × 9,834.44
  4. Step 4: Simplify right side
    13,597.16x = 184,430,170.54
  5. Step 5: Solve for x
    x = 184,430,170.54/13,597.16
  6. Step 6: Final answer
    x = 13,563.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.