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Finding the Fourth Proportional to 23,544.84, 35,322.12 and 7,963.68

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Solution

The fourth proportional to 23,544.84, 35,322.12 and 7,963.68 is: 11,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544.84 : 35,322.12 = 7,963.68 : x
  2. Step 2: Convert to fraction form
    23,544.84/35,322.12 = 7,963.68/x
  3. Step 3: Cross multiply
    23,544.84x = 35,322.12 × 7,963.68
  4. Step 4: Simplify right side
    23,544.84x = 281,294,060.60
  5. Step 5: Solve for x
    x = 281,294,060.60/23,544.84
  6. Step 6: Final answer
    x = 11,947.16

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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.