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Finding the Fourth Proportional to 6,681.75, 9,199.71 and 5,884.53

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Solution

The fourth proportional to 6,681.75, 9,199.71 and 5,884.53 is: 8,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.75 : 9,199.71 = 5,884.53 : x
  2. Step 2: Convert to fraction form
    6,681.75/9,199.71 = 5,884.53/x
  3. Step 3: Cross multiply
    6,681.75x = 9,199.71 × 5,884.53
  4. Step 4: Simplify right side
    6,681.75x = 54,135,969.49
  5. Step 5: Solve for x
    x = 54,135,969.49/6,681.75
  6. Step 6: Final answer
    x = 8,102.06

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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.