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Finding the Fourth Proportional to 6,079, 9,118.50 and 1,975

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Solution

The fourth proportional to 6,079, 9,118.50 and 1,975 is: 2,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079 : 9,118.50 = 1,975 : x
  2. Step 2: Convert to fraction form
    6,079/9,118.50 = 1,975/x
  3. Step 3: Cross multiply
    6,079x = 9,118.50 × 1,975
  4. Step 4: Simplify right side
    6,079x = 18,009,037.50
  5. Step 5: Solve for x
    x = 18,009,037.50/6,079
  6. Step 6: Final answer
    x = 2,962.50

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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.