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Finding the Fourth Proportional to 6,526.40, 9,790.16 and 1,846.44

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Solution

The fourth proportional to 6,526.40, 9,790.16 and 1,846.44 is: 2,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.40 : 9,790.16 = 1,846.44 : x
  2. Step 2: Convert to fraction form
    6,526.40/9,790.16 = 1,846.44/x
  3. Step 3: Cross multiply
    6,526.40x = 9,790.16 × 1,846.44
  4. Step 4: Simplify right side
    6,526.40x = 18,076,943.03
  5. Step 5: Solve for x
    x = 18,076,943.03/6,526.40
  6. Step 6: Final answer
    x = 2,769.82

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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.