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Finding the Fourth Proportional to 7,875.88, 11,816.13 and 2,329.37

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Solution

The fourth proportional to 7,875.88, 11,816.13 and 2,329.37 is: 3,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.88 : 11,816.13 = 2,329.37 : x
  2. Step 2: Convert to fraction form
    7,875.88/11,816.13 = 2,329.37/x
  3. Step 3: Cross multiply
    7,875.88x = 11,816.13 × 2,329.37
  4. Step 4: Simplify right side
    7,875.88x = 27,524,138.74
  5. Step 5: Solve for x
    x = 27,524,138.74/7,875.88
  6. Step 6: Final answer
    x = 3,494.74

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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.