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Finding the Fourth Proportional to 6,761.12, 9,329.42 and 3,776.58

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Solution

The fourth proportional to 6,761.12, 9,329.42 and 3,776.58 is: 5,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.12 : 9,329.42 = 3,776.58 : x
  2. Step 2: Convert to fraction form
    6,761.12/9,329.42 = 3,776.58/x
  3. Step 3: Cross multiply
    6,761.12x = 9,329.42 × 3,776.58
  4. Step 4: Simplify right side
    6,761.12x = 35,233,282.10
  5. Step 5: Solve for x
    x = 35,233,282.10/6,761.12
  6. Step 6: Final answer
    x = 5,211.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.