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Finding the Fourth Proportional to 7,178, 9,906.27 and 4,034.21

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Solution

The fourth proportional to 7,178, 9,906.27 and 4,034.21 is: 5,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178 : 9,906.27 = 4,034.21 : x
  2. Step 2: Convert to fraction form
    7,178/9,906.27 = 4,034.21/x
  3. Step 3: Cross multiply
    7,178x = 9,906.27 × 4,034.21
  4. Step 4: Simplify right side
    7,178x = 39,963,973.50
  5. Step 5: Solve for x
    x = 39,963,973.50/7,178
  6. Step 6: Final answer
    x = 5,567.56

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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.