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Finding the Fourth Proportional to 9,093.24, 13,640.04 and 3,899.16

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Solution

The fourth proportional to 9,093.24, 13,640.04 and 3,899.16 is: 5,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.24 : 13,640.04 = 3,899.16 : x
  2. Step 2: Convert to fraction form
    9,093.24/13,640.04 = 3,899.16/x
  3. Step 3: Cross multiply
    9,093.24x = 13,640.04 × 3,899.16
  4. Step 4: Simplify right side
    9,093.24x = 53,184,698.37
  5. Step 5: Solve for x
    x = 53,184,698.37/9,093.24
  6. Step 6: Final answer
    x = 5,848.82

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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.