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Finding the Fourth Proportional to 7,608.09, 11,411.84 and 3,448.08

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Solution

The fourth proportional to 7,608.09, 11,411.84 and 3,448.08 is: 5,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.09 : 11,411.84 = 3,448.08 : x
  2. Step 2: Convert to fraction form
    7,608.09/11,411.84 = 3,448.08/x
  3. Step 3: Cross multiply
    7,608.09x = 11,411.84 × 3,448.08
  4. Step 4: Simplify right side
    7,608.09x = 39,348,920.03
  5. Step 5: Solve for x
    x = 39,348,920.03/7,608.09
  6. Step 6: Final answer
    x = 5,171.98

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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.