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Finding the Fourth Proportional to 6,522.12, 9,783.27 and 1,905.12

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Solution

The fourth proportional to 6,522.12, 9,783.27 and 1,905.12 is: 2,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.12 : 9,783.27 = 1,905.12 : x
  2. Step 2: Convert to fraction form
    6,522.12/9,783.27 = 1,905.12/x
  3. Step 3: Cross multiply
    6,522.12x = 9,783.27 × 1,905.12
  4. Step 4: Simplify right side
    6,522.12x = 18,638,303.34
  5. Step 5: Solve for x
    x = 18,638,303.34/6,522.12
  6. Step 6: Final answer
    x = 2,857.71

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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.