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Finding the Fourth Proportional to 11,975.96, 16,542.96 and 10,858.16

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Solution

The fourth proportional to 11,975.96, 16,542.96 and 10,858.16 is: 14,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.96 : 16,542.96 = 10,858.16 : x
  2. Step 2: Convert to fraction form
    11,975.96/16,542.96 = 10,858.16/x
  3. Step 3: Cross multiply
    11,975.96x = 16,542.96 × 10,858.16
  4. Step 4: Simplify right side
    11,975.96x = 179,626,106.55
  5. Step 5: Solve for x
    x = 179,626,106.55/11,975.96
  6. Step 6: Final answer
    x = 14,998.89

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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.