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Finding the Fourth Proportional to 6,509.54, 8,981.61 and 3,676.97

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Solution

The fourth proportional to 6,509.54, 8,981.61 and 3,676.97 is: 5,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.54 : 8,981.61 = 3,676.97 : x
  2. Step 2: Convert to fraction form
    6,509.54/8,981.61 = 3,676.97/x
  3. Step 3: Cross multiply
    6,509.54x = 8,981.61 × 3,676.97
  4. Step 4: Simplify right side
    6,509.54x = 33,025,110.52
  5. Step 5: Solve for x
    x = 33,025,110.52/6,509.54
  6. Step 6: Final answer
    x = 5,073.34

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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.