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Finding the Fourth Proportional to 6,506.82, 9,759.49 and 1,827.21

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Solution

The fourth proportional to 6,506.82, 9,759.49 and 1,827.21 is: 2,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.82 : 9,759.49 = 1,827.21 : x
  2. Step 2: Convert to fraction form
    6,506.82/9,759.49 = 1,827.21/x
  3. Step 3: Cross multiply
    6,506.82x = 9,759.49 × 1,827.21
  4. Step 4: Simplify right side
    6,506.82x = 17,832,637.72
  5. Step 5: Solve for x
    x = 17,832,637.72/6,506.82
  6. Step 6: Final answer
    x = 2,740.61

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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.