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Finding the Fourth Proportional to 9,857.69, 14,787.56 and 3,193.69

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Solution

The fourth proportional to 9,857.69, 14,787.56 and 3,193.69 is: 4,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.69 : 14,787.56 = 3,193.69 : x
  2. Step 2: Convert to fraction form
    9,857.69/14,787.56 = 3,193.69/x
  3. Step 3: Cross multiply
    9,857.69x = 14,787.56 × 3,193.69
  4. Step 4: Simplify right side
    9,857.69x = 47,226,882.50
  5. Step 5: Solve for x
    x = 47,226,882.50/9,857.69
  6. Step 6: Final answer
    x = 4,790.87

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1.5x scale

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.