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Finding the Fourth Proportional to 6,190.80, 9,285.36 and 1,573.80

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Solution

The fourth proportional to 6,190.80, 9,285.36 and 1,573.80 is: 2,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.80 : 9,285.36 = 1,573.80 : x
  2. Step 2: Convert to fraction form
    6,190.80/9,285.36 = 1,573.80/x
  3. Step 3: Cross multiply
    6,190.80x = 9,285.36 × 1,573.80
  4. Step 4: Simplify right side
    6,190.80x = 14,613,299.57
  5. Step 5: Solve for x
    x = 14,613,299.57/6,190.80
  6. Step 6: Final answer
    x = 2,360.49

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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.