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Finding the Fourth Proportional to 10,714.78, 16,072.02 and 6,499.04

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Solution

The fourth proportional to 10,714.78, 16,072.02 and 6,499.04 is: 9,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.78 : 16,072.02 = 6,499.04 : x
  2. Step 2: Convert to fraction form
    10,714.78/16,072.02 = 6,499.04/x
  3. Step 3: Cross multiply
    10,714.78x = 16,072.02 × 6,499.04
  4. Step 4: Simplify right side
    10,714.78x = 104,452,620.50
  5. Step 5: Solve for x
    x = 104,452,620.50/10,714.78
  6. Step 6: Final answer
    x = 9,748.46

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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.