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Finding the Fourth Proportional to 6,369.64, 9,557 and 2,475.16

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Solution

The fourth proportional to 6,369.64, 9,557 and 2,475.16 is: 3,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.64 : 9,557 = 2,475.16 : x
  2. Step 2: Convert to fraction form
    6,369.64/9,557 = 2,475.16/x
  3. Step 3: Cross multiply
    6,369.64x = 9,557 × 2,475.16
  4. Step 4: Simplify right side
    6,369.64x = 23,655,104.12
  5. Step 5: Solve for x
    x = 23,655,104.12/6,369.64
  6. Step 6: Final answer
    x = 3,713.73

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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.