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Finding the Fourth Proportional to 6,416.26, 9,624.72 and 2,034.06

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Solution

The fourth proportional to 6,416.26, 9,624.72 and 2,034.06 is: 3,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.26 : 9,624.72 = 2,034.06 : x
  2. Step 2: Convert to fraction form
    6,416.26/9,624.72 = 2,034.06/x
  3. Step 3: Cross multiply
    6,416.26x = 9,624.72 × 2,034.06
  4. Step 4: Simplify right side
    6,416.26x = 19,577,229.50
  5. Step 5: Solve for x
    x = 19,577,229.50/6,416.26
  6. Step 6: Final answer
    x = 3,051.19

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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.