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Finding the Fourth Proportional to 10,496.94, 15,746.10 and 3,477.43

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Solution

The fourth proportional to 10,496.94, 15,746.10 and 3,477.43 is: 5,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.94 : 15,746.10 = 3,477.43 : x
  2. Step 2: Convert to fraction form
    10,496.94/15,746.10 = 3,477.43/x
  3. Step 3: Cross multiply
    10,496.94x = 15,746.10 × 3,477.43
  4. Step 4: Simplify right side
    10,496.94x = 54,755,967.17
  5. Step 5: Solve for x
    x = 54,755,967.17/10,496.94
  6. Step 6: Final answer
    x = 5,216.37

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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.