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Finding the Fourth Proportional to 6,524.56, 9,783.06 and 2,825.56

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Solution

The fourth proportional to 6,524.56, 9,783.06 and 2,825.56 is: 4,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.56 : 9,783.06 = 2,825.56 : x
  2. Step 2: Convert to fraction form
    6,524.56/9,783.06 = 2,825.56/x
  3. Step 3: Cross multiply
    6,524.56x = 9,783.06 × 2,825.56
  4. Step 4: Simplify right side
    6,524.56x = 27,642,623.01
  5. Step 5: Solve for x
    x = 27,642,623.01/6,524.56
  6. Step 6: Final answer
    x = 4,236.70

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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.