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Finding the Fourth Proportional to 10,398.21, 14,347.83 and 6,420.60

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Solution

The fourth proportional to 10,398.21, 14,347.83 and 6,420.60 is: 8,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.21 : 14,347.83 = 6,420.60 : x
  2. Step 2: Convert to fraction form
    10,398.21/14,347.83 = 6,420.60/x
  3. Step 3: Cross multiply
    10,398.21x = 14,347.83 × 6,420.60
  4. Step 4: Simplify right side
    10,398.21x = 92,121,701.38
  5. Step 5: Solve for x
    x = 92,121,701.38/10,398.21
  6. Step 6: Final answer
    x = 8,859.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.