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Finding the Fourth Proportional to 6,643.46, 9,167.85 and 3,659.23

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Solution

The fourth proportional to 6,643.46, 9,167.85 and 3,659.23 is: 5,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.46 : 9,167.85 = 3,659.23 : x
  2. Step 2: Convert to fraction form
    6,643.46/9,167.85 = 3,659.23/x
  3. Step 3: Cross multiply
    6,643.46x = 9,167.85 × 3,659.23
  4. Step 4: Simplify right side
    6,643.46x = 33,547,271.76
  5. Step 5: Solve for x
    x = 33,547,271.76/6,643.46
  6. Step 6: Final answer
    x = 5,049.67

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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.