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Finding the Fourth Proportional to 5,997, 8,276.58 and 3,513

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Solution

The fourth proportional to 5,997, 8,276.58 and 3,513 is: 4,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 8,276.58 = 3,513 : x
  2. Step 2: Convert to fraction form
    5,997/8,276.58 = 3,513/x
  3. Step 3: Cross multiply
    5,997x = 8,276.58 × 3,513
  4. Step 4: Simplify right side
    5,997x = 29,075,625.54
  5. Step 5: Solve for x
    x = 29,075,625.54/5,997
  6. Step 6: Final answer
    x = 4,848.36

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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.