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Finding the Fourth Proportional to 6,709.12, 9,258.50 and 3,724.88

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Solution

The fourth proportional to 6,709.12, 9,258.50 and 3,724.88 is: 5,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.12 : 9,258.50 = 3,724.88 : x
  2. Step 2: Convert to fraction form
    6,709.12/9,258.50 = 3,724.88/x
  3. Step 3: Cross multiply
    6,709.12x = 9,258.50 × 3,724.88
  4. Step 4: Simplify right side
    6,709.12x = 34,486,801.48
  5. Step 5: Solve for x
    x = 34,486,801.48/6,709.12
  6. Step 6: Final answer
    x = 5,140.29

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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.