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Finding the Fourth Proportional to 9,893.56, 14,829.90 and 6,772.74

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Solution

The fourth proportional to 9,893.56, 14,829.90 and 6,772.74 is: 10,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.56 : 14,829.90 = 6,772.74 : x
  2. Step 2: Convert to fraction form
    9,893.56/14,829.90 = 6,772.74/x
  3. Step 3: Cross multiply
    9,893.56x = 14,829.90 × 6,772.74
  4. Step 4: Simplify right side
    9,893.56x = 100,439,056.93
  5. Step 5: Solve for x
    x = 100,439,056.93/9,893.56
  6. Step 6: Final answer
    x = 10,151.96

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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.