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Finding the Fourth Proportional to 7,869.40, 11,804.10 and 2,026.06

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Solution

The fourth proportional to 7,869.40, 11,804.10 and 2,026.06 is: 3,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.40 : 11,804.10 = 2,026.06 : x
  2. Step 2: Convert to fraction form
    7,869.40/11,804.10 = 2,026.06/x
  3. Step 3: Cross multiply
    7,869.40x = 11,804.10 × 2,026.06
  4. Step 4: Simplify right side
    7,869.40x = 23,915,814.85
  5. Step 5: Solve for x
    x = 23,915,814.85/7,869.40
  6. Step 6: Final answer
    x = 3,039.09

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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.