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Finding the Fourth Proportional to 10,801.76, 14,906.88 and 6,325.44

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Solution

The fourth proportional to 10,801.76, 14,906.88 and 6,325.44 is: 8,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.76 : 14,906.88 = 6,325.44 : x
  2. Step 2: Convert to fraction form
    10,801.76/14,906.88 = 6,325.44/x
  3. Step 3: Cross multiply
    10,801.76x = 14,906.88 × 6,325.44
  4. Step 4: Simplify right side
    10,801.76x = 94,292,575.03
  5. Step 5: Solve for x
    x = 94,292,575.03/10,801.76
  6. Step 6: Final answer
    x = 8,729.37

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1.5x scale

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.