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Finding the Fourth Proportional to 9,873.92, 13,629.44 and 5,683.84

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Solution

The fourth proportional to 9,873.92, 13,629.44 and 5,683.84 is: 7,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.92 : 13,629.44 = 5,683.84 : x
  2. Step 2: Convert to fraction form
    9,873.92/13,629.44 = 5,683.84/x
  3. Step 3: Cross multiply
    9,873.92x = 13,629.44 × 5,683.84
  4. Step 4: Simplify right side
    9,873.92x = 77,467,556.25
  5. Step 5: Solve for x
    x = 77,467,556.25/9,873.92
  6. Step 6: Final answer
    x = 7,845.67

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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.