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Finding the Fourth Proportional to 6,558.62, 9,838.02 and 3,655.38

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Solution

The fourth proportional to 6,558.62, 9,838.02 and 3,655.38 is: 5,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.62 : 9,838.02 = 3,655.38 : x
  2. Step 2: Convert to fraction form
    6,558.62/9,838.02 = 3,655.38/x
  3. Step 3: Cross multiply
    6,558.62x = 9,838.02 × 3,655.38
  4. Step 4: Simplify right side
    6,558.62x = 35,961,701.55
  5. Step 5: Solve for x
    x = 35,961,701.55/6,558.62
  6. Step 6: Final answer
    x = 5,483.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.