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Finding the Fourth Proportional to 23,757.12, 35,630 and 7,112.68

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Solution

The fourth proportional to 23,757.12, 35,630 and 7,112.68 is: 10,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.12 : 35,630 = 7,112.68 : x
  2. Step 2: Convert to fraction form
    23,757.12/35,630 = 7,112.68/x
  3. Step 3: Cross multiply
    23,757.12x = 35,630 × 7,112.68
  4. Step 4: Simplify right side
    23,757.12x = 253,424,788.40
  5. Step 5: Solve for x
    x = 253,424,788.40/23,757.12
  6. Step 6: Final answer
    x = 10,667.32

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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.