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Finding the Fourth Proportional to 9,801.60, 14,704.32 and 4,254

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Solution

The fourth proportional to 9,801.60, 14,704.32 and 4,254 is: 6,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.60 : 14,704.32 = 4,254 : x
  2. Step 2: Convert to fraction form
    9,801.60/14,704.32 = 4,254/x
  3. Step 3: Cross multiply
    9,801.60x = 14,704.32 × 4,254
  4. Step 4: Simplify right side
    9,801.60x = 62,552,177.28
  5. Step 5: Solve for x
    x = 62,552,177.28/9,801.60
  6. Step 6: Final answer
    x = 6,381.83

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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.