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Finding the Fourth Proportional to 6,501.08, 9,751.70 and 1,820.81

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Solution

The fourth proportional to 6,501.08, 9,751.70 and 1,820.81 is: 2,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.08 : 9,751.70 = 1,820.81 : x
  2. Step 2: Convert to fraction form
    6,501.08/9,751.70 = 1,820.81/x
  3. Step 3: Cross multiply
    6,501.08x = 9,751.70 × 1,820.81
  4. Step 4: Simplify right side
    6,501.08x = 17,755,992.88
  5. Step 5: Solve for x
    x = 17,755,992.88/6,501.08
  6. Step 6: Final answer
    x = 2,731.24

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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.