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Finding the Fourth Proportional to 6,432.96, 9,658.35 and 4,255.68

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Solution

The fourth proportional to 6,432.96, 9,658.35 and 4,255.68 is: 6,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.96 : 9,658.35 = 4,255.68 : x
  2. Step 2: Convert to fraction form
    6,432.96/9,658.35 = 4,255.68/x
  3. Step 3: Cross multiply
    6,432.96x = 9,658.35 × 4,255.68
  4. Step 4: Simplify right side
    6,432.96x = 41,102,846.93
  5. Step 5: Solve for x
    x = 41,102,846.93/6,432.96
  6. Step 6: Final answer
    x = 6,389.41

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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.