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Finding the Fourth Proportional to 6,501.04, 9,751.68 and 1,884

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Solution

The fourth proportional to 6,501.04, 9,751.68 and 1,884 is: 2,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.04 : 9,751.68 = 1,884 : x
  2. Step 2: Convert to fraction form
    6,501.04/9,751.68 = 1,884/x
  3. Step 3: Cross multiply
    6,501.04x = 9,751.68 × 1,884
  4. Step 4: Simplify right side
    6,501.04x = 18,372,165.12
  5. Step 5: Solve for x
    x = 18,372,165.12/6,501.04
  6. Step 6: Final answer
    x = 2,826.03

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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.