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Finding the Fourth Proportional to 9,604.75, 14,409.56 and 2,679.25

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Solution

The fourth proportional to 9,604.75, 14,409.56 and 2,679.25 is: 4,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.75 : 14,409.56 = 2,679.25 : x
  2. Step 2: Convert to fraction form
    9,604.75/14,409.56 = 2,679.25/x
  3. Step 3: Cross multiply
    9,604.75x = 14,409.56 × 2,679.25
  4. Step 4: Simplify right side
    9,604.75x = 38,606,813.63
  5. Step 5: Solve for x
    x = 38,606,813.63/9,604.75
  6. Step 6: Final answer
    x = 4,019.55

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1.5x scale

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.