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Finding the Fourth Proportional to 6,412.50, 9,619.56 and 1,795.50

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Solution

The fourth proportional to 6,412.50, 9,619.56 and 1,795.50 is: 2,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.50 : 9,619.56 = 1,795.50 : x
  2. Step 2: Convert to fraction form
    6,412.50/9,619.56 = 1,795.50/x
  3. Step 3: Cross multiply
    6,412.50x = 9,619.56 × 1,795.50
  4. Step 4: Simplify right side
    6,412.50x = 17,271,919.98
  5. Step 5: Solve for x
    x = 17,271,919.98/6,412.50
  6. Step 6: Final answer
    x = 2,693.48

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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.