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Finding the Fourth Proportional to 9,898.80, 14,856.30 and 4,059.78

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Solution

The fourth proportional to 9,898.80, 14,856.30 and 4,059.78 is: 6,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.80 : 14,856.30 = 4,059.78 : x
  2. Step 2: Convert to fraction form
    9,898.80/14,856.30 = 4,059.78/x
  3. Step 3: Cross multiply
    9,898.80x = 14,856.30 × 4,059.78
  4. Step 4: Simplify right side
    9,898.80x = 60,313,309.61
  5. Step 5: Solve for x
    x = 60,313,309.61/9,898.80
  6. Step 6: Final answer
    x = 6,092.99

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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.