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Finding the Fourth Proportional to 7,994.41, 11,970.09 and 5,214.19

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Solution

The fourth proportional to 7,994.41, 11,970.09 and 5,214.19 is: 7,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.41 : 11,970.09 = 5,214.19 : x
  2. Step 2: Convert to fraction form
    7,994.41/11,970.09 = 5,214.19/x
  3. Step 3: Cross multiply
    7,994.41x = 11,970.09 × 5,214.19
  4. Step 4: Simplify right side
    7,994.41x = 62,414,323.58
  5. Step 5: Solve for x
    x = 62,414,323.58/7,994.41
  6. Step 6: Final answer
    x = 7,807.25

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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.