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Finding the Fourth Proportional to 5,977.99, 8,214.99 and 5,703.59

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Solution

The fourth proportional to 5,977.99, 8,214.99 and 5,703.59 is: 7,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.99 : 8,214.99 = 5,703.59 : x
  2. Step 2: Convert to fraction form
    5,977.99/8,214.99 = 5,703.59/x
  3. Step 3: Cross multiply
    5,977.99x = 8,214.99 × 5,703.59
  4. Step 4: Simplify right side
    5,977.99x = 46,854,923.97
  5. Step 5: Solve for x
    x = 46,854,923.97/5,977.99
  6. Step 6: Final answer
    x = 7,837.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.