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Finding the Fourth Proportional to 6,898.61, 10,349.75 and 1,968.63

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Solution

The fourth proportional to 6,898.61, 10,349.75 and 1,968.63 is: 2,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.61 : 10,349.75 = 1,968.63 : x
  2. Step 2: Convert to fraction form
    6,898.61/10,349.75 = 1,968.63/x
  3. Step 3: Cross multiply
    6,898.61x = 10,349.75 × 1,968.63
  4. Step 4: Simplify right side
    6,898.61x = 20,374,818.50
  5. Step 5: Solve for x
    x = 20,374,818.50/6,898.61
  6. Step 6: Final answer
    x = 2,953.47

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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.