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Finding the Fourth Proportional to 8,523.04, 12,782.52 and 3,256.96

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Solution

The fourth proportional to 8,523.04, 12,782.52 and 3,256.96 is: 4,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.04 : 12,782.52 = 3,256.96 : x
  2. Step 2: Convert to fraction form
    8,523.04/12,782.52 = 3,256.96/x
  3. Step 3: Cross multiply
    8,523.04x = 12,782.52 × 3,256.96
  4. Step 4: Simplify right side
    8,523.04x = 41,632,156.34
  5. Step 5: Solve for x
    x = 41,632,156.34/8,523.04
  6. Step 6: Final answer
    x = 4,884.66

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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.