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Finding the Fourth Proportional to 6,994.09, 9,650.71 and 4,009.38

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Solution

The fourth proportional to 6,994.09, 9,650.71 and 4,009.38 is: 5,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.09 : 9,650.71 = 4,009.38 : x
  2. Step 2: Convert to fraction form
    6,994.09/9,650.71 = 4,009.38/x
  3. Step 3: Cross multiply
    6,994.09x = 9,650.71 × 4,009.38
  4. Step 4: Simplify right side
    6,994.09x = 38,693,363.66
  5. Step 5: Solve for x
    x = 38,693,363.66/6,994.09
  6. Step 6: Final answer
    x = 5,532.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.