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Finding the Fourth Proportional to 6,501.09, 9,751.06 and 1,820.70

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Solution

The fourth proportional to 6,501.09, 9,751.06 and 1,820.70 is: 2,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.09 : 9,751.06 = 1,820.70 : x
  2. Step 2: Convert to fraction form
    6,501.09/9,751.06 = 1,820.70/x
  3. Step 3: Cross multiply
    6,501.09x = 9,751.06 × 1,820.70
  4. Step 4: Simplify right side
    6,501.09x = 17,753,754.94
  5. Step 5: Solve for x
    x = 17,753,754.94/6,501.09
  6. Step 6: Final answer
    x = 2,730.89

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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.