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Finding the Fourth Proportional to 11,788.68, 16,268.43 and 6,483.84

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Solution

The fourth proportional to 11,788.68, 16,268.43 and 6,483.84 is: 8,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.68 : 16,268.43 = 6,483.84 : x
  2. Step 2: Convert to fraction form
    11,788.68/16,268.43 = 6,483.84/x
  3. Step 3: Cross multiply
    11,788.68x = 16,268.43 × 6,483.84
  4. Step 4: Simplify right side
    11,788.68x = 105,481,897.17
  5. Step 5: Solve for x
    x = 105,481,897.17/11,788.68
  6. Step 6: Final answer
    x = 8,947.73

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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.