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Finding the Fourth Proportional to 9,954.16, 13,736.44 and 5,477.90

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Solution

The fourth proportional to 9,954.16, 13,736.44 and 5,477.90 is: 7,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.16 : 13,736.44 = 5,477.90 : x
  2. Step 2: Convert to fraction form
    9,954.16/13,736.44 = 5,477.90/x
  3. Step 3: Cross multiply
    9,954.16x = 13,736.44 × 5,477.90
  4. Step 4: Simplify right side
    9,954.16x = 75,246,865.32
  5. Step 5: Solve for x
    x = 75,246,865.32/9,954.16
  6. Step 6: Final answer
    x = 7,559.34

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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.