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Finding the Fourth Proportional to 8,596.10, 12,894.15 and 4,222.10

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Solution

The fourth proportional to 8,596.10, 12,894.15 and 4,222.10 is: 6,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.10 : 12,894.15 = 4,222.10 : x
  2. Step 2: Convert to fraction form
    8,596.10/12,894.15 = 4,222.10/x
  3. Step 3: Cross multiply
    8,596.10x = 12,894.15 × 4,222.10
  4. Step 4: Simplify right side
    8,596.10x = 54,440,390.72
  5. Step 5: Solve for x
    x = 54,440,390.72/8,596.10
  6. Step 6: Final answer
    x = 6,333.15

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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.