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Finding the Fourth Proportional to 6,730.41, 9,287.85 and 3,746.16

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Solution

The fourth proportional to 6,730.41, 9,287.85 and 3,746.16 is: 5,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.41 : 9,287.85 = 3,746.16 : x
  2. Step 2: Convert to fraction form
    6,730.41/9,287.85 = 3,746.16/x
  3. Step 3: Cross multiply
    6,730.41x = 9,287.85 × 3,746.16
  4. Step 4: Simplify right side
    6,730.41x = 34,793,772.16
  5. Step 5: Solve for x
    x = 34,793,772.16/6,730.41
  6. Step 6: Final answer
    x = 5,169.64

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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.