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Finding the Fourth Proportional to 7,875.72, 11,816.09 and 2,329.09

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Solution

The fourth proportional to 7,875.72, 11,816.09 and 2,329.09 is: 3,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.72 : 11,816.09 = 2,329.09 : x
  2. Step 2: Convert to fraction form
    7,875.72/11,816.09 = 2,329.09/x
  3. Step 3: Cross multiply
    7,875.72x = 11,816.09 × 2,329.09
  4. Step 4: Simplify right side
    7,875.72x = 27,520,771.07
  5. Step 5: Solve for x
    x = 27,520,771.07/7,875.72
  6. Step 6: Final answer
    x = 3,494.38

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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.