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Finding the Fourth Proportional to 9,800.01, 13,514.79 and 7,558.34

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Solution

The fourth proportional to 9,800.01, 13,514.79 and 7,558.34 is: 10,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.01 : 13,514.79 = 7,558.34 : x
  2. Step 2: Convert to fraction form
    9,800.01/13,514.79 = 7,558.34/x
  3. Step 3: Cross multiply
    9,800.01x = 13,514.79 × 7,558.34
  4. Step 4: Simplify right side
    9,800.01x = 102,149,310.27
  5. Step 5: Solve for x
    x = 102,149,310.27/9,800.01
  6. Step 6: Final answer
    x = 10,423.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.