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Finding the Fourth Proportional to 6,835.87, 10,253.74 and 1,905.50

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Solution

The fourth proportional to 6,835.87, 10,253.74 and 1,905.50 is: 2,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.87 : 10,253.74 = 1,905.50 : x
  2. Step 2: Convert to fraction form
    6,835.87/10,253.74 = 1,905.50/x
  3. Step 3: Cross multiply
    6,835.87x = 10,253.74 × 1,905.50
  4. Step 4: Simplify right side
    6,835.87x = 19,538,497.17
  5. Step 5: Solve for x
    x = 19,538,497.17/6,835.87
  6. Step 6: Final answer
    x = 2,858.23

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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.