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Finding the Fourth Proportional to 9,474.96, 13,076.40 and 5,496.96

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Solution

The fourth proportional to 9,474.96, 13,076.40 and 5,496.96 is: 7,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.96 : 13,076.40 = 5,496.96 : x
  2. Step 2: Convert to fraction form
    9,474.96/13,076.40 = 5,496.96/x
  3. Step 3: Cross multiply
    9,474.96x = 13,076.40 × 5,496.96
  4. Step 4: Simplify right side
    9,474.96x = 71,880,447.74
  5. Step 5: Solve for x
    x = 71,880,447.74/9,474.96
  6. Step 6: Final answer
    x = 7,586.36

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1.5x scale

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.