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Finding the Fourth Proportional to 34,782.54, 52,174.20 and 9,823.20

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Solution

The fourth proportional to 34,782.54, 52,174.20 and 9,823.20 is: 14,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.54 : 52,174.20 = 9,823.20 : x
  2. Step 2: Convert to fraction form
    34,782.54/52,174.20 = 9,823.20/x
  3. Step 3: Cross multiply
    34,782.54x = 52,174.20 × 9,823.20
  4. Step 4: Simplify right side
    34,782.54x = 512,517,601.44
  5. Step 5: Solve for x
    x = 512,517,601.44/34,782.54
  6. Step 6: Final answer
    x = 14,734.91

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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.