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Finding the Fourth Proportional to 19,000.50, 28,500.76 and 5,149.50

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Solution

The fourth proportional to 19,000.50, 28,500.76 and 5,149.50 is: 7,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.50 : 28,500.76 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    19,000.50/28,500.76 = 5,149.50/x
  3. Step 3: Cross multiply
    19,000.50x = 28,500.76 × 5,149.50
  4. Step 4: Simplify right side
    19,000.50x = 146,764,663.62
  5. Step 5: Solve for x
    x = 146,764,663.62/19,000.50
  6. Step 6: Final answer
    x = 7,724.25

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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.