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Finding the Fourth Proportional to 6,317.16, 9,474.46 and 1,699.08

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Solution

The fourth proportional to 6,317.16, 9,474.46 and 1,699.08 is: 2,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.16 : 9,474.46 = 1,699.08 : x
  2. Step 2: Convert to fraction form
    6,317.16/9,474.46 = 1,699.08/x
  3. Step 3: Cross multiply
    6,317.16x = 9,474.46 × 1,699.08
  4. Step 4: Simplify right side
    6,317.16x = 16,097,865.50
  5. Step 5: Solve for x
    x = 16,097,865.50/6,317.16
  6. Step 6: Final answer
    x = 2,548.28

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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.