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Finding the Fourth Proportional to 6,397.64, 9,596.54 and 2,237.48

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Solution

The fourth proportional to 6,397.64, 9,596.54 and 2,237.48 is: 3,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.64 : 9,596.54 = 2,237.48 : x
  2. Step 2: Convert to fraction form
    6,397.64/9,596.54 = 2,237.48/x
  3. Step 3: Cross multiply
    6,397.64x = 9,596.54 × 2,237.48
  4. Step 4: Simplify right side
    6,397.64x = 21,472,066.32
  5. Step 5: Solve for x
    x = 21,472,066.32/6,397.64
  6. Step 6: Final answer
    x = 3,356.25

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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.