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Finding the Fourth Proportional to 6,506.28, 9,761.09 and 1,826.30

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Solution

The fourth proportional to 6,506.28, 9,761.09 and 1,826.30 is: 2,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.28 : 9,761.09 = 1,826.30 : x
  2. Step 2: Convert to fraction form
    6,506.28/9,761.09 = 1,826.30/x
  3. Step 3: Cross multiply
    6,506.28x = 9,761.09 × 1,826.30
  4. Step 4: Simplify right side
    6,506.28x = 17,826,693.94
  5. Step 5: Solve for x
    x = 17,826,693.94/6,506.28
  6. Step 6: Final answer
    x = 2,739.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.