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Finding the Fourth Proportional to 6,578.01, 9,077.76 and 3,926.97

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Solution

The fourth proportional to 6,578.01, 9,077.76 and 3,926.97 is: 5,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.01 : 9,077.76 = 3,926.97 : x
  2. Step 2: Convert to fraction form
    6,578.01/9,077.76 = 3,926.97/x
  3. Step 3: Cross multiply
    6,578.01x = 9,077.76 × 3,926.97
  4. Step 4: Simplify right side
    6,578.01x = 35,648,091.19
  5. Step 5: Solve for x
    x = 35,648,091.19/6,578.01
  6. Step 6: Final answer
    x = 5,419.28

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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.