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Finding the Fourth Proportional to 23,552.32, 35,330.12 and 7,964.68

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Solution

The fourth proportional to 23,552.32, 35,330.12 and 7,964.68 is: 11,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,552.32 : 35,330.12 = 7,964.68 : x
  2. Step 2: Convert to fraction form
    23,552.32/35,330.12 = 7,964.68/x
  3. Step 3: Cross multiply
    23,552.32x = 35,330.12 × 7,964.68
  4. Step 4: Simplify right side
    23,552.32x = 281,393,100.16
  5. Step 5: Solve for x
    x = 281,393,100.16/23,552.32
  6. Step 6: Final answer
    x = 11,947.57

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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.