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Finding the Fourth Proportional to 10,662.94, 15,975.26 and 6,278.01

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Solution

The fourth proportional to 10,662.94, 15,975.26 and 6,278.01 is: 9,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.94 : 15,975.26 = 6,278.01 : x
  2. Step 2: Convert to fraction form
    10,662.94/15,975.26 = 6,278.01/x
  3. Step 3: Cross multiply
    10,662.94x = 15,975.26 × 6,278.01
  4. Step 4: Simplify right side
    10,662.94x = 100,292,774.28
  5. Step 5: Solve for x
    x = 100,292,774.28/10,662.94
  6. Step 6: Final answer
    x = 9,405.73

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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.