Home / 7,730.28-11,596.34-2,463.46

Finding the Fourth Proportional to 7,730.28, 11,596.34 and 2,463.46

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Solution

The fourth proportional to 7,730.28, 11,596.34 and 2,463.46 is: 3,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.28 : 11,596.34 = 2,463.46 : x
  2. Step 2: Convert to fraction form
    7,730.28/11,596.34 = 2,463.46/x
  3. Step 3: Cross multiply
    7,730.28x = 11,596.34 × 2,463.46
  4. Step 4: Simplify right side
    7,730.28x = 28,567,107.42
  5. Step 5: Solve for x
    x = 28,567,107.42/7,730.28
  6. Step 6: Final answer
    x = 3,695.48

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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.