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Finding the Fourth Proportional to 11,323.68, 16,983.63 and 6,259.29

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Solution

The fourth proportional to 11,323.68, 16,983.63 and 6,259.29 is: 9,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.68 : 16,983.63 = 6,259.29 : x
  2. Step 2: Convert to fraction form
    11,323.68/16,983.63 = 6,259.29/x
  3. Step 3: Cross multiply
    11,323.68x = 16,983.63 × 6,259.29
  4. Step 4: Simplify right side
    11,323.68x = 106,305,465.42
  5. Step 5: Solve for x
    x = 106,305,465.42/11,323.68
  6. Step 6: Final answer
    x = 9,387.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.