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Finding the Fourth Proportional to 6,964.80, 10,435.04 and 5,802.27

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Solution

The fourth proportional to 6,964.80, 10,435.04 and 5,802.27 is: 8,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.80 : 10,435.04 = 5,802.27 : x
  2. Step 2: Convert to fraction form
    6,964.80/10,435.04 = 5,802.27/x
  3. Step 3: Cross multiply
    6,964.80x = 10,435.04 × 5,802.27
  4. Step 4: Simplify right side
    6,964.80x = 60,546,873.16
  5. Step 5: Solve for x
    x = 60,546,873.16/6,964.80
  6. Step 6: Final answer
    x = 8,693.27

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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.