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Finding the Fourth Proportional to 13,772.67, 20,631.29 and 6,366.93

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Solution

The fourth proportional to 13,772.67, 20,631.29 and 6,366.93 is: 9,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.67 : 20,631.29 = 6,366.93 : x
  2. Step 2: Convert to fraction form
    13,772.67/20,631.29 = 6,366.93/x
  3. Step 3: Cross multiply
    13,772.67x = 20,631.29 × 6,366.93
  4. Step 4: Simplify right side
    13,772.67x = 131,357,947.41
  5. Step 5: Solve for x
    x = 131,357,947.41/13,772.67
  6. Step 6: Final answer
    x = 9,537.58

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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.