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Finding the Fourth Proportional to 23,788.56, 35,684.68 and 7,147.28

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Solution

The fourth proportional to 23,788.56, 35,684.68 and 7,147.28 is: 10,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.56 : 35,684.68 = 7,147.28 : x
  2. Step 2: Convert to fraction form
    23,788.56/35,684.68 = 7,147.28/x
  3. Step 3: Cross multiply
    23,788.56x = 35,684.68 × 7,147.28
  4. Step 4: Simplify right side
    23,788.56x = 255,048,399.67
  5. Step 5: Solve for x
    x = 255,048,399.67/23,788.56
  6. Step 6: Final answer
    x = 10,721.47

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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.