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Finding the Fourth Proportional to 6,878.12, 9,491.81 and 3,734.30

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Solution

The fourth proportional to 6,878.12, 9,491.81 and 3,734.30 is: 5,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.12 : 9,491.81 = 3,734.30 : x
  2. Step 2: Convert to fraction form
    6,878.12/9,491.81 = 3,734.30/x
  3. Step 3: Cross multiply
    6,878.12x = 9,491.81 × 3,734.30
  4. Step 4: Simplify right side
    6,878.12x = 35,445,271.14
  5. Step 5: Solve for x
    x = 35,445,271.14/6,878.12
  6. Step 6: Final answer
    x = 5,153.34

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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.