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Finding the Fourth Proportional to 13,598.96, 20,398.66 and 3,738.17

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Solution

The fourth proportional to 13,598.96, 20,398.66 and 3,738.17 is: 5,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.96 : 20,398.66 = 3,738.17 : x
  2. Step 2: Convert to fraction form
    13,598.96/20,398.66 = 3,738.17/x
  3. Step 3: Cross multiply
    13,598.96x = 20,398.66 × 3,738.17
  4. Step 4: Simplify right side
    13,598.96x = 76,253,700.50
  5. Step 5: Solve for x
    x = 76,253,700.50/13,598.96
  6. Step 6: Final answer
    x = 5,607.32

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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.