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Finding the Fourth Proportional to 6,738.40, 10,107.60 and 2,355.40

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Solution

The fourth proportional to 6,738.40, 10,107.60 and 2,355.40 is: 3,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.40 : 10,107.60 = 2,355.40 : x
  2. Step 2: Convert to fraction form
    6,738.40/10,107.60 = 2,355.40/x
  3. Step 3: Cross multiply
    6,738.40x = 10,107.60 × 2,355.40
  4. Step 4: Simplify right side
    6,738.40x = 23,807,441.04
  5. Step 5: Solve for x
    x = 23,807,441.04/6,738.40
  6. Step 6: Final answer
    x = 3,533.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.