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Finding the Fourth Proportional to 13,773.81, 19,007.42 and 7,486.14

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Solution

The fourth proportional to 13,773.81, 19,007.42 and 7,486.14 is: 10,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.81 : 19,007.42 = 7,486.14 : x
  2. Step 2: Convert to fraction form
    13,773.81/19,007.42 = 7,486.14/x
  3. Step 3: Cross multiply
    13,773.81x = 19,007.42 × 7,486.14
  4. Step 4: Simplify right side
    13,773.81x = 142,292,169.73
  5. Step 5: Solve for x
    x = 142,292,169.73/13,773.81
  6. Step 6: Final answer
    x = 10,330.63

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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.