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Finding the Fourth Proportional to 13,149.78, 18,147.24 and 7,182.06

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Solution

The fourth proportional to 13,149.78, 18,147.24 and 7,182.06 is: 9,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.78 : 18,147.24 = 7,182.06 : x
  2. Step 2: Convert to fraction form
    13,149.78/18,147.24 = 7,182.06/x
  3. Step 3: Cross multiply
    13,149.78x = 18,147.24 × 7,182.06
  4. Step 4: Simplify right side
    13,149.78x = 130,334,566.51
  5. Step 5: Solve for x
    x = 130,334,566.51/13,149.78
  6. Step 6: Final answer
    x = 9,911.54

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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.