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Finding the Fourth Proportional to 6,326.06, 8,730.08 and 3,673.64

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Solution

The fourth proportional to 6,326.06, 8,730.08 and 3,673.64 is: 5,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.06 : 8,730.08 = 3,673.64 : x
  2. Step 2: Convert to fraction form
    6,326.06/8,730.08 = 3,673.64/x
  3. Step 3: Cross multiply
    6,326.06x = 8,730.08 × 3,673.64
  4. Step 4: Simplify right side
    6,326.06x = 32,071,109.07
  5. Step 5: Solve for x
    x = 32,071,109.07/6,326.06
  6. Step 6: Final answer
    x = 5,069.69

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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.