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Finding the Fourth Proportional to 6,681.76, 10,019.72 and 2,063.68

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Solution

The fourth proportional to 6,681.76, 10,019.72 and 2,063.68 is: 3,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.76 : 10,019.72 = 2,063.68 : x
  2. Step 2: Convert to fraction form
    6,681.76/10,019.72 = 2,063.68/x
  3. Step 3: Cross multiply
    6,681.76x = 10,019.72 × 2,063.68
  4. Step 4: Simplify right side
    6,681.76x = 20,677,495.77
  5. Step 5: Solve for x
    x = 20,677,495.77/6,681.76
  6. Step 6: Final answer
    x = 3,094.62

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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.