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Finding the Fourth Proportional to 5,977.14, 8,249.40 and 5,782.89

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Solution

The fourth proportional to 5,977.14, 8,249.40 and 5,782.89 is: 7,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.14 : 8,249.40 = 5,782.89 : x
  2. Step 2: Convert to fraction form
    5,977.14/8,249.40 = 5,782.89/x
  3. Step 3: Cross multiply
    5,977.14x = 8,249.40 × 5,782.89
  4. Step 4: Simplify right side
    5,977.14x = 47,705,372.77
  5. Step 5: Solve for x
    x = 47,705,372.77/5,977.14
  6. Step 6: Final answer
    x = 7,981.30

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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.