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Finding the Fourth Proportional to 11,857.04, 17,788.08 and 4,063.76

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Solution

The fourth proportional to 11,857.04, 17,788.08 and 4,063.76 is: 6,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.04 : 17,788.08 = 4,063.76 : x
  2. Step 2: Convert to fraction form
    11,857.04/17,788.08 = 4,063.76/x
  3. Step 3: Cross multiply
    11,857.04x = 17,788.08 × 4,063.76
  4. Step 4: Simplify right side
    11,857.04x = 72,286,487.98
  5. Step 5: Solve for x
    x = 72,286,487.98/11,857.04
  6. Step 6: Final answer
    x = 6,096.50

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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.