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Finding the Fourth Proportional to 23,382.56, 35,074.16 and 7,800.20

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Solution

The fourth proportional to 23,382.56, 35,074.16 and 7,800.20 is: 11,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.56 : 35,074.16 = 7,800.20 : x
  2. Step 2: Convert to fraction form
    23,382.56/35,074.16 = 7,800.20/x
  3. Step 3: Cross multiply
    23,382.56x = 35,074.16 × 7,800.20
  4. Step 4: Simplify right side
    23,382.56x = 273,585,462.83
  5. Step 5: Solve for x
    x = 273,585,462.83/23,382.56
  6. Step 6: Final answer
    x = 11,700.41

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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.