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Finding the Fourth Proportional to 6,302.52, 9,450.14 and 3,011.09

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Solution

The fourth proportional to 6,302.52, 9,450.14 and 3,011.09 is: 4,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.52 : 9,450.14 = 3,011.09 : x
  2. Step 2: Convert to fraction form
    6,302.52/9,450.14 = 3,011.09/x
  3. Step 3: Cross multiply
    6,302.52x = 9,450.14 × 3,011.09
  4. Step 4: Simplify right side
    6,302.52x = 28,455,159.75
  5. Step 5: Solve for x
    x = 28,455,159.75/6,302.52
  6. Step 6: Final answer
    x = 4,514.89

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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.