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Finding the Fourth Proportional to 19,697.16, 29,546.00 and 6,549.53

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Solution

The fourth proportional to 19,697.16, 29,546.00 and 6,549.53 is: 9,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.16 : 29,546.00 = 6,549.53 : x
  2. Step 2: Convert to fraction form
    19,697.16/29,546.00 = 6,549.53/x
  3. Step 3: Cross multiply
    19,697.16x = 29,546.00 × 6,549.53
  4. Step 4: Simplify right side
    19,697.16x = 193,512,503.62
  5. Step 5: Solve for x
    x = 193,512,503.62/19,697.16
  6. Step 6: Final answer
    x = 9,824.38

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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.