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Finding the Fourth Proportional to 6,537.30, 9,024 and 4,548.96

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Solution

The fourth proportional to 6,537.30, 9,024 and 4,548.96 is: 6,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.30 : 9,024 = 4,548.96 : x
  2. Step 2: Convert to fraction form
    6,537.30/9,024 = 4,548.96/x
  3. Step 3: Cross multiply
    6,537.30x = 9,024 × 4,548.96
  4. Step 4: Simplify right side
    6,537.30x = 41,049,815.04
  5. Step 5: Solve for x
    x = 41,049,815.04/6,537.30
  6. Step 6: Final answer
    x = 6,279.32

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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.