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Finding the Fourth Proportional to 13,773.75, 19,007.84 and 7,486.13

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Solution

The fourth proportional to 13,773.75, 19,007.84 and 7,486.13 is: 10,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.75 : 19,007.84 = 7,486.13 : x
  2. Step 2: Convert to fraction form
    13,773.75/19,007.84 = 7,486.13/x
  3. Step 3: Cross multiply
    13,773.75x = 19,007.84 × 7,486.13
  4. Step 4: Simplify right side
    13,773.75x = 142,295,084.94
  5. Step 5: Solve for x
    x = 142,295,084.94/13,773.75
  6. Step 6: Final answer
    x = 10,330.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.