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Finding the Fourth Proportional to 6,196.32, 8,550 and 3,543.12

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Solution

The fourth proportional to 6,196.32, 8,550 and 3,543.12 is: 4,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.32 : 8,550 = 3,543.12 : x
  2. Step 2: Convert to fraction form
    6,196.32/8,550 = 3,543.12/x
  3. Step 3: Cross multiply
    6,196.32x = 8,550 × 3,543.12
  4. Step 4: Simplify right side
    6,196.32x = 30,293,676
  5. Step 5: Solve for x
    x = 30,293,676/6,196.32
  6. Step 6: Final answer
    x = 4,888.98

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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.