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Finding the Fourth Proportional to 6,709.42, 9,257.65 and 3,724.84

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Solution

The fourth proportional to 6,709.42, 9,257.65 and 3,724.84 is: 5,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.42 : 9,257.65 = 3,724.84 : x
  2. Step 2: Convert to fraction form
    6,709.42/9,257.65 = 3,724.84/x
  3. Step 3: Cross multiply
    6,709.42x = 9,257.65 × 3,724.84
  4. Step 4: Simplify right side
    6,709.42x = 34,483,265.03
  5. Step 5: Solve for x
    x = 34,483,265.03/6,709.42
  6. Step 6: Final answer
    x = 5,139.53

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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.