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Finding the Fourth Proportional to 19,261.50, 28,892.34 and 6,949.50

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Solution

The fourth proportional to 19,261.50, 28,892.34 and 6,949.50 is: 10,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,261.50 : 28,892.34 = 6,949.50 : x
  2. Step 2: Convert to fraction form
    19,261.50/28,892.34 = 6,949.50/x
  3. Step 3: Cross multiply
    19,261.50x = 28,892.34 × 6,949.50
  4. Step 4: Simplify right side
    19,261.50x = 200,787,316.83
  5. Step 5: Solve for x
    x = 200,787,316.83/19,261.50
  6. Step 6: Final answer
    x = 10,424.28

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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.