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Finding the Fourth Proportional to 13,781.14, 19,018.16 and 7,493.65

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Solution

The fourth proportional to 13,781.14, 19,018.16 and 7,493.65 is: 10,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.14 : 19,018.16 = 7,493.65 : x
  2. Step 2: Convert to fraction form
    13,781.14/19,018.16 = 7,493.65/x
  3. Step 3: Cross multiply
    13,781.14x = 19,018.16 × 7,493.65
  4. Step 4: Simplify right side
    13,781.14x = 142,515,377.77
  5. Step 5: Solve for x
    x = 142,515,377.77/13,781.14
  6. Step 6: Final answer
    x = 10,341.34

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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.