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Finding the Fourth Proportional to 6,026.51, 9,039.77 and 1,643.96

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Solution

The fourth proportional to 6,026.51, 9,039.77 and 1,643.96 is: 2,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.51 : 9,039.77 = 1,643.96 : x
  2. Step 2: Convert to fraction form
    6,026.51/9,039.77 = 1,643.96/x
  3. Step 3: Cross multiply
    6,026.51x = 9,039.77 × 1,643.96
  4. Step 4: Simplify right side
    6,026.51x = 14,860,979.20
  5. Step 5: Solve for x
    x = 14,860,979.20/6,026.51
  6. Step 6: Final answer
    x = 2,465.94

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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.