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Finding the Fourth Proportional to 8,446.37, 11,654.97 and 4,669.01

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Solution

The fourth proportional to 8,446.37, 11,654.97 and 4,669.01 is: 6,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.37 : 11,654.97 = 4,669.01 : x
  2. Step 2: Convert to fraction form
    8,446.37/11,654.97 = 4,669.01/x
  3. Step 3: Cross multiply
    8,446.37x = 11,654.97 × 4,669.01
  4. Step 4: Simplify right side
    8,446.37x = 54,417,204.96
  5. Step 5: Solve for x
    x = 54,417,204.96/8,446.37
  6. Step 6: Final answer
    x = 6,442.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.