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Finding the Fourth Proportional to 7,878.96, 11,814.81 and 2,330.33

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Solution

The fourth proportional to 7,878.96, 11,814.81 and 2,330.33 is: 3,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.96 : 11,814.81 = 2,330.33 : x
  2. Step 2: Convert to fraction form
    7,878.96/11,814.81 = 2,330.33/x
  3. Step 3: Cross multiply
    7,878.96x = 11,814.81 × 2,330.33
  4. Step 4: Simplify right side
    7,878.96x = 27,532,347.11
  5. Step 5: Solve for x
    x = 27,532,347.11/7,878.96
  6. Step 6: Final answer
    x = 3,494.41

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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.