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Finding the Fourth Proportional to 7,676.56, 11,512.00 and 6,036.31

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Solution

The fourth proportional to 7,676.56, 11,512.00 and 6,036.31 is: 9,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.56 : 11,512.00 = 6,036.31 : x
  2. Step 2: Convert to fraction form
    7,676.56/11,512.00 = 6,036.31/x
  3. Step 3: Cross multiply
    7,676.56x = 11,512.00 × 6,036.31
  4. Step 4: Simplify right side
    7,676.56x = 69,489,928.07
  5. Step 5: Solve for x
    x = 69,489,928.07/7,676.56
  6. Step 6: Final answer
    x = 9,052.23

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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.