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Finding the Fourth Proportional to 10,898.78, 16,352.14 and 6,734.01

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Solution

The fourth proportional to 10,898.78, 16,352.14 and 6,734.01 is: 10,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.78 : 16,352.14 = 6,734.01 : x
  2. Step 2: Convert to fraction form
    10,898.78/16,352.14 = 6,734.01/x
  3. Step 3: Cross multiply
    10,898.78x = 16,352.14 × 6,734.01
  4. Step 4: Simplify right side
    10,898.78x = 110,115,457.45
  5. Step 5: Solve for x
    x = 110,115,457.45/10,898.78
  6. Step 6: Final answer
    x = 10,103.47

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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.