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Finding the Fourth Proportional to 6,734.50, 9,291.09 and 6,724.11

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Solution

The fourth proportional to 6,734.50, 9,291.09 and 6,724.11 is: 9,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.50 : 9,291.09 = 6,724.11 : x
  2. Step 2: Convert to fraction form
    6,734.50/9,291.09 = 6,724.11/x
  3. Step 3: Cross multiply
    6,734.50x = 9,291.09 × 6,724.11
  4. Step 4: Simplify right side
    6,734.50x = 62,474,371.24
  5. Step 5: Solve for x
    x = 62,474,371.24/6,734.50
  6. Step 6: Final answer
    x = 9,276.77

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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.