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Finding the Fourth Proportional to 6,316.36, 9,474.50 and 1,699.36

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Solution

The fourth proportional to 6,316.36, 9,474.50 and 1,699.36 is: 2,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.36 : 9,474.50 = 1,699.36 : x
  2. Step 2: Convert to fraction form
    6,316.36/9,474.50 = 1,699.36/x
  3. Step 3: Cross multiply
    6,316.36x = 9,474.50 × 1,699.36
  4. Step 4: Simplify right side
    6,316.36x = 16,100,586.32
  5. Step 5: Solve for x
    x = 16,100,586.32/6,316.36
  6. Step 6: Final answer
    x = 2,549.03

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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.