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Finding the Fourth Proportional to 6,802.64, 10,204.74 and 2,907.44

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Solution

The fourth proportional to 6,802.64, 10,204.74 and 2,907.44 is: 4,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.64 : 10,204.74 = 2,907.44 : x
  2. Step 2: Convert to fraction form
    6,802.64/10,204.74 = 2,907.44/x
  3. Step 3: Cross multiply
    6,802.64x = 10,204.74 × 2,907.44
  4. Step 4: Simplify right side
    6,802.64x = 29,669,669.27
  5. Step 5: Solve for x
    x = 29,669,669.27/6,802.64
  6. Step 6: Final answer
    x = 4,361.49

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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.