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Finding the Fourth Proportional to 6,817.73, 10,210.46 and 3,848.94

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Solution

The fourth proportional to 6,817.73, 10,210.46 and 3,848.94 is: 5,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.73 : 10,210.46 = 3,848.94 : x
  2. Step 2: Convert to fraction form
    6,817.73/10,210.46 = 3,848.94/x
  3. Step 3: Cross multiply
    6,817.73x = 10,210.46 × 3,848.94
  4. Step 4: Simplify right side
    6,817.73x = 39,299,428.67
  5. Step 5: Solve for x
    x = 39,299,428.67/6,817.73
  6. Step 6: Final answer
    x = 5,764.30

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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.