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Finding the Fourth Proportional to 7,698.56, 11,546.64 and 2,504.40

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Solution

The fourth proportional to 7,698.56, 11,546.64 and 2,504.40 is: 3,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.56 : 11,546.64 = 2,504.40 : x
  2. Step 2: Convert to fraction form
    7,698.56/11,546.64 = 2,504.40/x
  3. Step 3: Cross multiply
    7,698.56x = 11,546.64 × 2,504.40
  4. Step 4: Simplify right side
    7,698.56x = 28,917,405.22
  5. Step 5: Solve for x
    x = 28,917,405.22/7,698.56
  6. Step 6: Final answer
    x = 3,756.21

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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.