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Finding the Fourth Proportional to 6,482.36, 9,699.01 and 3,851.28

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Solution

The fourth proportional to 6,482.36, 9,699.01 and 3,851.28 is: 5,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.36 : 9,699.01 = 3,851.28 : x
  2. Step 2: Convert to fraction form
    6,482.36/9,699.01 = 3,851.28/x
  3. Step 3: Cross multiply
    6,482.36x = 9,699.01 × 3,851.28
  4. Step 4: Simplify right side
    6,482.36x = 37,353,593.60
  5. Step 5: Solve for x
    x = 37,353,593.60/6,482.36
  6. Step 6: Final answer
    x = 5,762.34

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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.