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Finding the Fourth Proportional to 6,654.64, 9,975.56 and 2,957.36

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Solution

The fourth proportional to 6,654.64, 9,975.56 and 2,957.36 is: 4,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.64 : 9,975.56 = 2,957.36 : x
  2. Step 2: Convert to fraction form
    6,654.64/9,975.56 = 2,957.36/x
  3. Step 3: Cross multiply
    6,654.64x = 9,975.56 × 2,957.36
  4. Step 4: Simplify right side
    6,654.64x = 29,501,322.12
  5. Step 5: Solve for x
    x = 29,501,322.12/6,654.64
  6. Step 6: Final answer
    x = 4,433.20

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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.