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Finding the Fourth Proportional to 6,684.66, 10,034.70 and 3,913.32

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Solution

The fourth proportional to 6,684.66, 10,034.70 and 3,913.32 is: 5,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.66 : 10,034.70 = 3,913.32 : x
  2. Step 2: Convert to fraction form
    6,684.66/10,034.70 = 3,913.32/x
  3. Step 3: Cross multiply
    6,684.66x = 10,034.70 × 3,913.32
  4. Step 4: Simplify right side
    6,684.66x = 39,268,992.20
  5. Step 5: Solve for x
    x = 39,268,992.20/6,684.66
  6. Step 6: Final answer
    x = 5,874.49

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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.