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Finding the Fourth Proportional to 7,730, 11,596.92 and 2,258

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Solution

The fourth proportional to 7,730, 11,596.92 and 2,258 is: 3,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730 : 11,596.92 = 2,258 : x
  2. Step 2: Convert to fraction form
    7,730/11,596.92 = 2,258/x
  3. Step 3: Cross multiply
    7,730x = 11,596.92 × 2,258
  4. Step 4: Simplify right side
    7,730x = 26,185,845.36
  5. Step 5: Solve for x
    x = 26,185,845.36/7,730
  6. Step 6: Final answer
    x = 3,387.56

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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.