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Finding the Fourth Proportional to 6,202, 8,548.56 and 4,316.32

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Solution

The fourth proportional to 6,202, 8,548.56 and 4,316.32 is: 5,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202 : 8,548.56 = 4,316.32 : x
  2. Step 2: Convert to fraction form
    6,202/8,548.56 = 4,316.32/x
  3. Step 3: Cross multiply
    6,202x = 8,548.56 × 4,316.32
  4. Step 4: Simplify right side
    6,202x = 36,898,320.50
  5. Step 5: Solve for x
    x = 36,898,320.50/6,202
  6. Step 6: Final answer
    x = 5,949.42

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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.