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Finding the Fourth Proportional to 10,494.96, 15,744.75 and 3,477.15

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Solution

The fourth proportional to 10,494.96, 15,744.75 and 3,477.15 is: 5,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.96 : 15,744.75 = 3,477.15 : x
  2. Step 2: Convert to fraction form
    10,494.96/15,744.75 = 3,477.15/x
  3. Step 3: Cross multiply
    10,494.96x = 15,744.75 × 3,477.15
  4. Step 4: Simplify right side
    10,494.96x = 54,746,857.46
  5. Step 5: Solve for x
    x = 54,746,857.46/10,494.96
  6. Step 6: Final answer
    x = 5,216.49

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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.