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Finding the Fourth Proportional to 8,596.17, 12,894.32 and 8,176.46

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Solution

The fourth proportional to 8,596.17, 12,894.32 and 8,176.46 is: 12,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.17 : 12,894.32 = 8,176.46 : x
  2. Step 2: Convert to fraction form
    8,596.17/12,894.32 = 8,176.46/x
  3. Step 3: Cross multiply
    8,596.17x = 12,894.32 × 8,176.46
  4. Step 4: Simplify right side
    8,596.17x = 105,429,847.68
  5. Step 5: Solve for x
    x = 105,429,847.68/8,596.17
  6. Step 6: Final answer
    x = 12,264.75

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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.