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Finding the Fourth Proportional to 13,782.66, 19,020.22 and 7,495.03

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Solution

The fourth proportional to 13,782.66, 19,020.22 and 7,495.03 is: 10,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.66 : 19,020.22 = 7,495.03 : x
  2. Step 2: Convert to fraction form
    13,782.66/19,020.22 = 7,495.03/x
  3. Step 3: Cross multiply
    13,782.66x = 19,020.22 × 7,495.03
  4. Step 4: Simplify right side
    13,782.66x = 142,557,124.54
  5. Step 5: Solve for x
    x = 142,557,124.54/13,782.66
  6. Step 6: Final answer
    x = 10,343.23

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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.