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Finding the Fourth Proportional to 6,899.81, 9,520.29 and 4,513.28

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Solution

The fourth proportional to 6,899.81, 9,520.29 and 4,513.28 is: 6,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.81 : 9,520.29 = 4,513.28 : x
  2. Step 2: Convert to fraction form
    6,899.81/9,520.29 = 4,513.28/x
  3. Step 3: Cross multiply
    6,899.81x = 9,520.29 × 4,513.28
  4. Step 4: Simplify right side
    6,899.81x = 42,967,734.45
  5. Step 5: Solve for x
    x = 42,967,734.45/6,899.81
  6. Step 6: Final answer
    x = 6,227.38

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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.