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Finding the Fourth Proportional to 6,752.06, 9,316.42 and 3,919.08

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Solution

The fourth proportional to 6,752.06, 9,316.42 and 3,919.08 is: 5,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.06 : 9,316.42 = 3,919.08 : x
  2. Step 2: Convert to fraction form
    6,752.06/9,316.42 = 3,919.08/x
  3. Step 3: Cross multiply
    6,752.06x = 9,316.42 × 3,919.08
  4. Step 4: Simplify right side
    6,752.06x = 36,511,820.43
  5. Step 5: Solve for x
    x = 36,511,820.43/6,752.06
  6. Step 6: Final answer
    x = 5,407.51

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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.