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Finding the Fourth Proportional to 6,416.24, 9,626 and 1,799.24

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Solution

The fourth proportional to 6,416.24, 9,626 and 1,799.24 is: 2,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.24 : 9,626 = 1,799.24 : x
  2. Step 2: Convert to fraction form
    6,416.24/9,626 = 1,799.24/x
  3. Step 3: Cross multiply
    6,416.24x = 9,626 × 1,799.24
  4. Step 4: Simplify right side
    6,416.24x = 17,319,484.24
  5. Step 5: Solve for x
    x = 17,319,484.24/6,416.24
  6. Step 6: Final answer
    x = 2,699.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.