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Finding the Fourth Proportional to 9,898.20, 14,841.90 and 4,048.20

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Solution

The fourth proportional to 9,898.20, 14,841.90 and 4,048.20 is: 6,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.20 : 14,841.90 = 4,048.20 : x
  2. Step 2: Convert to fraction form
    9,898.20/14,841.90 = 4,048.20/x
  3. Step 3: Cross multiply
    9,898.20x = 14,841.90 × 4,048.20
  4. Step 4: Simplify right side
    9,898.20x = 60,082,979.58
  5. Step 5: Solve for x
    x = 60,082,979.58/9,898.20
  6. Step 6: Final answer
    x = 6,070.09

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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.