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Finding the Fourth Proportional to 9,211.84, 13,815.84 and 2,636.24

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Solution

The fourth proportional to 9,211.84, 13,815.84 and 2,636.24 is: 3,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.84 : 13,815.84 = 2,636.24 : x
  2. Step 2: Convert to fraction form
    9,211.84/13,815.84 = 2,636.24/x
  3. Step 3: Cross multiply
    9,211.84x = 13,815.84 × 2,636.24
  4. Step 4: Simplify right side
    9,211.84x = 36,421,870.04
  5. Step 5: Solve for x
    x = 36,421,870.04/9,211.84
  6. Step 6: Final answer
    x = 3,953.81

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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.