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Finding the Fourth Proportional to 9,556, 13,189.44 and 5,832.16

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Solution

The fourth proportional to 9,556, 13,189.44 and 5,832.16 is: 8,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556 : 13,189.44 = 5,832.16 : x
  2. Step 2: Convert to fraction form
    9,556/13,189.44 = 5,832.16/x
  3. Step 3: Cross multiply
    9,556x = 13,189.44 × 5,832.16
  4. Step 4: Simplify right side
    9,556x = 76,922,924.39
  5. Step 5: Solve for x
    x = 76,922,924.39/9,556
  6. Step 6: Final answer
    x = 8,049.70

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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.