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Finding the Fourth Proportional to 6,268.86, 9,396.72 and 2,978.01

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Solution

The fourth proportional to 6,268.86, 9,396.72 and 2,978.01 is: 4,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.86 : 9,396.72 = 2,978.01 : x
  2. Step 2: Convert to fraction form
    6,268.86/9,396.72 = 2,978.01/x
  3. Step 3: Cross multiply
    6,268.86x = 9,396.72 × 2,978.01
  4. Step 4: Simplify right side
    6,268.86x = 27,983,526.13
  5. Step 5: Solve for x
    x = 27,983,526.13/6,268.86
  6. Step 6: Final answer
    x = 4,463.89

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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.