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Finding the Fourth Proportional to 6,804.97, 9,389.66 and 3,820.93

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Solution

The fourth proportional to 6,804.97, 9,389.66 and 3,820.93 is: 5,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.97 : 9,389.66 = 3,820.93 : x
  2. Step 2: Convert to fraction form
    6,804.97/9,389.66 = 3,820.93/x
  3. Step 3: Cross multiply
    6,804.97x = 9,389.66 × 3,820.93
  4. Step 4: Simplify right side
    6,804.97x = 35,877,191.01
  5. Step 5: Solve for x
    x = 35,877,191.01/6,804.97
  6. Step 6: Final answer
    x = 5,272.21

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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.