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Finding the Fourth Proportional to 7,193, 9,926.34 and 4,986.28

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Solution

The fourth proportional to 7,193, 9,926.34 and 4,986.28 is: 6,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193 : 9,926.34 = 4,986.28 : x
  2. Step 2: Convert to fraction form
    7,193/9,926.34 = 4,986.28/x
  3. Step 3: Cross multiply
    7,193x = 9,926.34 × 4,986.28
  4. Step 4: Simplify right side
    7,193x = 49,495,510.62
  5. Step 5: Solve for x
    x = 49,495,510.62/7,193
  6. Step 6: Final answer
    x = 6,881.07

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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.