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Finding the Fourth Proportional to 7,971.70, 11,957.54 and 2,425.02

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Solution

The fourth proportional to 7,971.70, 11,957.54 and 2,425.02 is: 3,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.70 : 11,957.54 = 2,425.02 : x
  2. Step 2: Convert to fraction form
    7,971.70/11,957.54 = 2,425.02/x
  3. Step 3: Cross multiply
    7,971.70x = 11,957.54 × 2,425.02
  4. Step 4: Simplify right side
    7,971.70x = 28,997,273.65
  5. Step 5: Solve for x
    x = 28,997,273.65/7,971.70
  6. Step 6: Final answer
    x = 3,637.53

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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.