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Finding the Fourth Proportional to 6,513.18, 9,768.71 and 1,833.51

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Solution

The fourth proportional to 6,513.18, 9,768.71 and 1,833.51 is: 2,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.18 : 9,768.71 = 1,833.51 : x
  2. Step 2: Convert to fraction form
    6,513.18/9,768.71 = 1,833.51/x
  3. Step 3: Cross multiply
    6,513.18x = 9,768.71 × 1,833.51
  4. Step 4: Simplify right side
    6,513.18x = 17,911,018.30
  5. Step 5: Solve for x
    x = 17,911,018.30/6,513.18
  6. Step 6: Final answer
    x = 2,749.97

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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.