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Finding the Fourth Proportional to 7,783.84, 11,678 and 2,593.12

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Solution

The fourth proportional to 7,783.84, 11,678 and 2,593.12 is: 3,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.84 : 11,678 = 2,593.12 : x
  2. Step 2: Convert to fraction form
    7,783.84/11,678 = 2,593.12/x
  3. Step 3: Cross multiply
    7,783.84x = 11,678 × 2,593.12
  4. Step 4: Simplify right side
    7,783.84x = 30,282,455.36
  5. Step 5: Solve for x
    x = 30,282,455.36/7,783.84
  6. Step 6: Final answer
    x = 3,890.43

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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.