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Finding the Fourth Proportional to 13,781.46, 19,019.01 and 7,813.08

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Solution

The fourth proportional to 13,781.46, 19,019.01 and 7,813.08 is: 10,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.46 : 19,019.01 = 7,813.08 : x
  2. Step 2: Convert to fraction form
    13,781.46/19,019.01 = 7,813.08/x
  3. Step 3: Cross multiply
    13,781.46x = 19,019.01 × 7,813.08
  4. Step 4: Simplify right side
    13,781.46x = 148,597,046.65
  5. Step 5: Solve for x
    x = 148,597,046.65/13,781.46
  6. Step 6: Final answer
    x = 10,782.39

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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.