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Finding the Fourth Proportional to 9,954.70, 13,738.11 and 5,478.84

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Solution

The fourth proportional to 9,954.70, 13,738.11 and 5,478.84 is: 7,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.70 : 13,738.11 = 5,478.84 : x
  2. Step 2: Convert to fraction form
    9,954.70/13,738.11 = 5,478.84/x
  3. Step 3: Cross multiply
    9,954.70x = 13,738.11 × 5,478.84
  4. Step 4: Simplify right side
    9,954.70x = 75,268,886.05
  5. Step 5: Solve for x
    x = 75,268,886.05/9,954.70
  6. Step 6: Final answer
    x = 7,561.14

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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.