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Finding the Fourth Proportional to 11,652.94, 16,078.41 and 6,873.22

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Solution

The fourth proportional to 11,652.94, 16,078.41 and 6,873.22 is: 9,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.94 : 16,078.41 = 6,873.22 : x
  2. Step 2: Convert to fraction form
    11,652.94/16,078.41 = 6,873.22/x
  3. Step 3: Cross multiply
    11,652.94x = 16,078.41 × 6,873.22
  4. Step 4: Simplify right side
    11,652.94x = 110,510,449.18
  5. Step 5: Solve for x
    x = 110,510,449.18/11,652.94
  6. Step 6: Final answer
    x = 9,483.48

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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.