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Finding the Fourth Proportional to 6,563.84, 9,845.96 and 2,181.74

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Solution

The fourth proportional to 6,563.84, 9,845.96 and 2,181.74 is: 3,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.84 : 9,845.96 = 2,181.74 : x
  2. Step 2: Convert to fraction form
    6,563.84/9,845.96 = 2,181.74/x
  3. Step 3: Cross multiply
    6,563.84x = 9,845.96 × 2,181.74
  4. Step 4: Simplify right side
    6,563.84x = 21,481,264.63
  5. Step 5: Solve for x
    x = 21,481,264.63/6,563.84
  6. Step 6: Final answer
    x = 3,272.67

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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.