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Finding the Fourth Proportional to 10,690.56, 14,739.48 and 6,907.32

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Solution

The fourth proportional to 10,690.56, 14,739.48 and 6,907.32 is: 9,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.56 : 14,739.48 = 6,907.32 : x
  2. Step 2: Convert to fraction form
    10,690.56/14,739.48 = 6,907.32/x
  3. Step 3: Cross multiply
    10,690.56x = 14,739.48 × 6,907.32
  4. Step 4: Simplify right side
    10,690.56x = 101,810,304.99
  5. Step 5: Solve for x
    x = 101,810,304.99/10,690.56
  6. Step 6: Final answer
    x = 9,523.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.