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Finding the Fourth Proportional to 13,797.16, 20,688.16 and 5,468.74

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Solution

The fourth proportional to 13,797.16, 20,688.16 and 5,468.74 is: 8,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.16 : 20,688.16 = 5,468.74 : x
  2. Step 2: Convert to fraction form
    13,797.16/20,688.16 = 5,468.74/x
  3. Step 3: Cross multiply
    13,797.16x = 20,688.16 × 5,468.74
  4. Step 4: Simplify right side
    13,797.16x = 113,138,168.12
  5. Step 5: Solve for x
    x = 113,138,168.12/13,797.16
  6. Step 6: Final answer
    x = 8,200.11

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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.