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Finding the Fourth Proportional to 12,596, 18,894.06 and 3,362

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Solution

The fourth proportional to 12,596, 18,894.06 and 3,362 is: 5,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 18,894.06 = 3,362 : x
  2. Step 2: Convert to fraction form
    12,596/18,894.06 = 3,362/x
  3. Step 3: Cross multiply
    12,596x = 18,894.06 × 3,362
  4. Step 4: Simplify right side
    12,596x = 63,521,829.72
  5. Step 5: Solve for x
    x = 63,521,829.72/12,596
  6. Step 6: Final answer
    x = 5,043.02

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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.