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Finding the Fourth Proportional to 10,704.64, 16,039.68 and 6,592

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Solution

The fourth proportional to 10,704.64, 16,039.68 and 6,592 is: 9,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.64 : 16,039.68 = 6,592 : x
  2. Step 2: Convert to fraction form
    10,704.64/16,039.68 = 6,592/x
  3. Step 3: Cross multiply
    10,704.64x = 16,039.68 × 6,592
  4. Step 4: Simplify right side
    10,704.64x = 105,733,570.56
  5. Step 5: Solve for x
    x = 105,733,570.56/10,704.64
  6. Step 6: Final answer
    x = 9,877.36

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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.