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Finding the Fourth Proportional to 6,348.00, 9,525.64 and 4,957.43

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Solution

The fourth proportional to 6,348.00, 9,525.64 and 4,957.43 is: 7,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.00 : 9,525.64 = 4,957.43 : x
  2. Step 2: Convert to fraction form
    6,348.00/9,525.64 = 4,957.43/x
  3. Step 3: Cross multiply
    6,348.00x = 9,525.64 × 4,957.43
  4. Step 4: Simplify right side
    6,348.00x = 47,222,729.20
  5. Step 5: Solve for x
    x = 47,222,729.20/6,348.00
  6. Step 6: Final answer
    x = 7,438.99

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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.