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Finding the Fourth Proportional to 13,598.34, 20,399.13 and 4,834.14

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Solution

The fourth proportional to 13,598.34, 20,399.13 and 4,834.14 is: 7,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.34 : 20,399.13 = 4,834.14 : x
  2. Step 2: Convert to fraction form
    13,598.34/20,399.13 = 4,834.14/x
  3. Step 3: Cross multiply
    13,598.34x = 20,399.13 × 4,834.14
  4. Step 4: Simplify right side
    13,598.34x = 98,612,250.30
  5. Step 5: Solve for x
    x = 98,612,250.30/13,598.34
  6. Step 6: Final answer
    x = 7,251.79

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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.