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Finding the Fourth Proportional to 8,596.16, 12,872.46 and 7,205.84

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Solution

The fourth proportional to 8,596.16, 12,872.46 and 7,205.84 is: 10,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.16 : 12,872.46 = 7,205.84 : x
  2. Step 2: Convert to fraction form
    8,596.16/12,872.46 = 7,205.84/x
  3. Step 3: Cross multiply
    8,596.16x = 12,872.46 × 7,205.84
  4. Step 4: Simplify right side
    8,596.16x = 92,756,887.17
  5. Step 5: Solve for x
    x = 92,756,887.17/8,596.16
  6. Step 6: Final answer
    x = 10,790.50

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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.