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Finding the Fourth Proportional to 7,654.97, 11,477.24 and 3,897.51

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Solution

The fourth proportional to 7,654.97, 11,477.24 and 3,897.51 is: 5,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.97 : 11,477.24 = 3,897.51 : x
  2. Step 2: Convert to fraction form
    7,654.97/11,477.24 = 3,897.51/x
  3. Step 3: Cross multiply
    7,654.97x = 11,477.24 × 3,897.51
  4. Step 4: Simplify right side
    7,654.97x = 44,732,638.18
  5. Step 5: Solve for x
    x = 44,732,638.18/7,654.97
  6. Step 6: Final answer
    x = 5,843.61

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1.5x scale

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.