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Finding the Fourth Proportional to 23,189.78, 34,786.62 and 7,397.08

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Solution

The fourth proportional to 23,189.78, 34,786.62 and 7,397.08 is: 11,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.78 : 34,786.62 = 7,397.08 : x
  2. Step 2: Convert to fraction form
    23,189.78/34,786.62 = 7,397.08/x
  3. Step 3: Cross multiply
    23,189.78x = 34,786.62 × 7,397.08
  4. Step 4: Simplify right side
    23,189.78x = 257,319,296.36
  5. Step 5: Solve for x
    x = 257,319,296.36/23,189.78
  6. Step 6: Final answer
    x = 11,096.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.