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Finding the Fourth Proportional to 6,718.37, 9,271.28 and 3,734.12

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Solution

The fourth proportional to 6,718.37, 9,271.28 and 3,734.12 is: 5,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.37 : 9,271.28 = 3,734.12 : x
  2. Step 2: Convert to fraction form
    6,718.37/9,271.28 = 3,734.12/x
  3. Step 3: Cross multiply
    6,718.37x = 9,271.28 × 3,734.12
  4. Step 4: Simplify right side
    6,718.37x = 34,620,104.59
  5. Step 5: Solve for x
    x = 34,620,104.59/6,718.37
  6. Step 6: Final answer
    x = 5,153.06

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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.