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Finding the Fourth Proportional to 6,898.15, 10,347.33 and 1,967.58

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Solution

The fourth proportional to 6,898.15, 10,347.33 and 1,967.58 is: 2,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.15 : 10,347.33 = 1,967.58 : x
  2. Step 2: Convert to fraction form
    6,898.15/10,347.33 = 1,967.58/x
  3. Step 3: Cross multiply
    6,898.15x = 10,347.33 × 1,967.58
  4. Step 4: Simplify right side
    6,898.15x = 20,359,199.56
  5. Step 5: Solve for x
    x = 20,359,199.56/6,898.15
  6. Step 6: Final answer
    x = 2,951.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.