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Finding the Fourth Proportional to 11,847.96, 16,345.02 and 6,811.02

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Solution

The fourth proportional to 11,847.96, 16,345.02 and 6,811.02 is: 9,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.96 : 16,345.02 = 6,811.02 : x
  2. Step 2: Convert to fraction form
    11,847.96/16,345.02 = 6,811.02/x
  3. Step 3: Cross multiply
    11,847.96x = 16,345.02 × 6,811.02
  4. Step 4: Simplify right side
    11,847.96x = 111,326,258.12
  5. Step 5: Solve for x
    x = 111,326,258.12/11,847.96
  6. Step 6: Final answer
    x = 9,396.24

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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.