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Finding the Fourth Proportional to 13,202.94, 19,803.12 and 5,411.16

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Solution

The fourth proportional to 13,202.94, 19,803.12 and 5,411.16 is: 8,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.94 : 19,803.12 = 5,411.16 : x
  2. Step 2: Convert to fraction form
    13,202.94/19,803.12 = 5,411.16/x
  3. Step 3: Cross multiply
    13,202.94x = 19,803.12 × 5,411.16
  4. Step 4: Simplify right side
    13,202.94x = 107,157,850.82
  5. Step 5: Solve for x
    x = 107,157,850.82/13,202.94
  6. Step 6: Final answer
    x = 8,116.21

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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.