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Finding the Fourth Proportional to 6,509.03, 8,982.48 and 3,524.87

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Solution

The fourth proportional to 6,509.03, 8,982.48 and 3,524.87 is: 4,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.03 : 8,982.48 = 3,524.87 : x
  2. Step 2: Convert to fraction form
    6,509.03/8,982.48 = 3,524.87/x
  3. Step 3: Cross multiply
    6,509.03x = 8,982.48 × 3,524.87
  4. Step 4: Simplify right side
    6,509.03x = 31,662,079.11
  5. Step 5: Solve for x
    x = 31,662,079.11/6,509.03
  6. Step 6: Final answer
    x = 4,864.33

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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.