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Finding the Fourth Proportional to 6,730.56, 9,287.96 and 3,746.30

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Solution

The fourth proportional to 6,730.56, 9,287.96 and 3,746.30 is: 5,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.56 : 9,287.96 = 3,746.30 : x
  2. Step 2: Convert to fraction form
    6,730.56/9,287.96 = 3,746.30/x
  3. Step 3: Cross multiply
    6,730.56x = 9,287.96 × 3,746.30
  4. Step 4: Simplify right side
    6,730.56x = 34,795,419.38
  5. Step 5: Solve for x
    x = 34,795,419.38/6,730.56
  6. Step 6: Final answer
    x = 5,169.77

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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.