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Finding the Fourth Proportional to 19,229.40, 28,844.10 and 5,189.40

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Solution

The fourth proportional to 19,229.40, 28,844.10 and 5,189.40 is: 7,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.40 : 28,844.10 = 5,189.40 : x
  2. Step 2: Convert to fraction form
    19,229.40/28,844.10 = 5,189.40/x
  3. Step 3: Cross multiply
    19,229.40x = 28,844.10 × 5,189.40
  4. Step 4: Simplify right side
    19,229.40x = 149,683,572.54
  5. Step 5: Solve for x
    x = 149,683,572.54/19,229.40
  6. Step 6: Final answer
    x = 7,784.10

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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.