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Finding the Fourth Proportional to 13,191.67, 19,787.73 and 6,169.69

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Solution

The fourth proportional to 13,191.67, 19,787.73 and 6,169.69 is: 9,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.67 : 19,787.73 = 6,169.69 : x
  2. Step 2: Convert to fraction form
    13,191.67/19,787.73 = 6,169.69/x
  3. Step 3: Cross multiply
    13,191.67x = 19,787.73 × 6,169.69
  4. Step 4: Simplify right side
    13,191.67x = 122,084,159.90
  5. Step 5: Solve for x
    x = 122,084,159.90/13,191.67
  6. Step 6: Final answer
    x = 9,254.64

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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.