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Finding the Fourth Proportional to 6,506.19, 9,758.43 and 1,826.55

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Solution

The fourth proportional to 6,506.19, 9,758.43 and 1,826.55 is: 2,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.19 : 9,758.43 = 1,826.55 : x
  2. Step 2: Convert to fraction form
    6,506.19/9,758.43 = 1,826.55/x
  3. Step 3: Cross multiply
    6,506.19x = 9,758.43 × 1,826.55
  4. Step 4: Simplify right side
    6,506.19x = 17,824,260.32
  5. Step 5: Solve for x
    x = 17,824,260.32/6,506.19
  6. Step 6: Final answer
    x = 2,739.58

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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.