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Finding the Fourth Proportional to 6,504.98, 8,956.05 and 5,676.98

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Solution

The fourth proportional to 6,504.98, 8,956.05 and 5,676.98 is: 7,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.98 : 8,956.05 = 5,676.98 : x
  2. Step 2: Convert to fraction form
    6,504.98/8,956.05 = 5,676.98/x
  3. Step 3: Cross multiply
    6,504.98x = 8,956.05 × 5,676.98
  4. Step 4: Simplify right side
    6,504.98x = 50,843,316.73
  5. Step 5: Solve for x
    x = 50,843,316.73/6,504.98
  6. Step 6: Final answer
    x = 7,816.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.