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Finding the Fourth Proportional to 19,993.20, 29,989.84 and 5,202.10

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Solution

The fourth proportional to 19,993.20, 29,989.84 and 5,202.10 is: 7,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.20 : 29,989.84 = 5,202.10 : x
  2. Step 2: Convert to fraction form
    19,993.20/29,989.84 = 5,202.10/x
  3. Step 3: Cross multiply
    19,993.20x = 29,989.84 × 5,202.10
  4. Step 4: Simplify right side
    19,993.20x = 156,009,996.71
  5. Step 5: Solve for x
    x = 156,009,996.71/19,993.20
  6. Step 6: Final answer
    x = 7,803.15

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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.