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Finding the Fourth Proportional to 12,598, 18,897.78 and 3,833.56

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Solution

The fourth proportional to 12,598, 18,897.78 and 3,833.56 is: 5,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598 : 18,897.78 = 3,833.56 : x
  2. Step 2: Convert to fraction form
    12,598/18,897.78 = 3,833.56/x
  3. Step 3: Cross multiply
    12,598x = 18,897.78 × 3,833.56
  4. Step 4: Simplify right side
    12,598x = 72,445,773.50
  5. Step 5: Solve for x
    x = 72,445,773.50/12,598
  6. Step 6: Final answer
    x = 5,750.58

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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.