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Finding the Fourth Proportional to 13,711.25, 18,921.53 and 7,744.19

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Solution

The fourth proportional to 13,711.25, 18,921.53 and 7,744.19 is: 10,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.25 : 18,921.53 = 7,744.19 : x
  2. Step 2: Convert to fraction form
    13,711.25/18,921.53 = 7,744.19/x
  3. Step 3: Cross multiply
    13,711.25x = 18,921.53 × 7,744.19
  4. Step 4: Simplify right side
    13,711.25x = 146,531,848.16
  5. Step 5: Solve for x
    x = 146,531,848.16/13,711.25
  6. Step 6: Final answer
    x = 10,686.98

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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.