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Finding the Fourth Proportional to 6,526.52, 9,790.12 and 1,846.87

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Solution

The fourth proportional to 6,526.52, 9,790.12 and 1,846.87 is: 2,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.52 : 9,790.12 = 1,846.87 : x
  2. Step 2: Convert to fraction form
    6,526.52/9,790.12 = 1,846.87/x
  3. Step 3: Cross multiply
    6,526.52x = 9,790.12 × 1,846.87
  4. Step 4: Simplify right side
    6,526.52x = 18,081,078.92
  5. Step 5: Solve for x
    x = 18,081,078.92/6,526.52
  6. Step 6: Final answer
    x = 2,770.40

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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.