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Finding the Fourth Proportional to 11,269.86, 15,535.86 and 7,902.48

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Solution

The fourth proportional to 11,269.86, 15,535.86 and 7,902.48 is: 10,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.86 : 15,535.86 = 7,902.48 : x
  2. Step 2: Convert to fraction form
    11,269.86/15,535.86 = 7,902.48/x
  3. Step 3: Cross multiply
    11,269.86x = 15,535.86 × 7,902.48
  4. Step 4: Simplify right side
    11,269.86x = 122,771,822.93
  5. Step 5: Solve for x
    x = 122,771,822.93/11,269.86
  6. Step 6: Final answer
    x = 10,893.82

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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.