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Finding the Fourth Proportional to 8,596.84, 12,894.72 and 3,663.40

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Solution

The fourth proportional to 8,596.84, 12,894.72 and 3,663.40 is: 5,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.84 : 12,894.72 = 3,663.40 : x
  2. Step 2: Convert to fraction form
    8,596.84/12,894.72 = 3,663.40/x
  3. Step 3: Cross multiply
    8,596.84x = 12,894.72 × 3,663.40
  4. Step 4: Simplify right side
    8,596.84x = 47,238,517.25
  5. Step 5: Solve for x
    x = 47,238,517.25/8,596.84
  6. Step 6: Final answer
    x = 5,494.87

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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.