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Finding the Fourth Proportional to 29,654.72, 44,478.84 and 7,468.10

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Solution

The fourth proportional to 29,654.72, 44,478.84 and 7,468.10 is: 11,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.72 : 44,478.84 = 7,468.10 : x
  2. Step 2: Convert to fraction form
    29,654.72/44,478.84 = 7,468.10/x
  3. Step 3: Cross multiply
    29,654.72x = 44,478.84 × 7,468.10
  4. Step 4: Simplify right side
    29,654.72x = 332,172,425.00
  5. Step 5: Solve for x
    x = 332,172,425.00/29,654.72
  6. Step 6: Final answer
    x = 11,201.33

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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.