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Finding the Fourth Proportional to 23,264.40, 34,896.32 and 5,734.40

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Solution

The fourth proportional to 23,264.40, 34,896.32 and 5,734.40 is: 8,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.40 : 34,896.32 = 5,734.40 : x
  2. Step 2: Convert to fraction form
    23,264.40/34,896.32 = 5,734.40/x
  3. Step 3: Cross multiply
    23,264.40x = 34,896.32 × 5,734.40
  4. Step 4: Simplify right side
    23,264.40x = 200,109,457.41
  5. Step 5: Solve for x
    x = 200,109,457.41/23,264.40
  6. Step 6: Final answer
    x = 8,601.53

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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.