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Finding the Fourth Proportional to 19,771.76, 29,654.52 and 6,624.24

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Solution

The fourth proportional to 19,771.76, 29,654.52 and 6,624.24 is: 9,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.76 : 29,654.52 = 6,624.24 : x
  2. Step 2: Convert to fraction form
    19,771.76/29,654.52 = 6,624.24/x
  3. Step 3: Cross multiply
    19,771.76x = 29,654.52 × 6,624.24
  4. Step 4: Simplify right side
    19,771.76x = 196,438,657.56
  5. Step 5: Solve for x
    x = 196,438,657.56/19,771.76
  6. Step 6: Final answer
    x = 9,935.32

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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.