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Finding the Fourth Proportional to 10,946.76, 16,419.54 and 6,203.22

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Solution

The fourth proportional to 10,946.76, 16,419.54 and 6,203.22 is: 9,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.76 : 16,419.54 = 6,203.22 : x
  2. Step 2: Convert to fraction form
    10,946.76/16,419.54 = 6,203.22/x
  3. Step 3: Cross multiply
    10,946.76x = 16,419.54 × 6,203.22
  4. Step 4: Simplify right side
    10,946.76x = 101,854,018.92
  5. Step 5: Solve for x
    x = 101,854,018.92/10,946.76
  6. Step 6: Final answer
    x = 9,304.49

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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.