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Finding the Fourth Proportional to 6,509.55, 8,983.17 and 3,525.38

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Solution

The fourth proportional to 6,509.55, 8,983.17 and 3,525.38 is: 4,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.55 : 8,983.17 = 3,525.38 : x
  2. Step 2: Convert to fraction form
    6,509.55/8,983.17 = 3,525.38/x
  3. Step 3: Cross multiply
    6,509.55x = 8,983.17 × 3,525.38
  4. Step 4: Simplify right side
    6,509.55x = 31,669,116.76
  5. Step 5: Solve for x
    x = 31,669,116.76/6,509.55
  6. Step 6: Final answer
    x = 4,865.03

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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.