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Finding the Fourth Proportional to 11,998.63, 16,559.93 and 7,282.00

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Solution

The fourth proportional to 11,998.63, 16,559.93 and 7,282.00 is: 10,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.63 : 16,559.93 = 7,282.00 : x
  2. Step 2: Convert to fraction form
    11,998.63/16,559.93 = 7,282.00/x
  3. Step 3: Cross multiply
    11,998.63x = 16,559.93 × 7,282.00
  4. Step 4: Simplify right side
    11,998.63x = 120,589,291.05
  5. Step 5: Solve for x
    x = 120,589,291.05/11,998.63
  6. Step 6: Final answer
    x = 10,050.26

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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.