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Finding the Fourth Proportional to 19,644.88, 29,471.76 and 6,498.64

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Solution

The fourth proportional to 19,644.88, 29,471.76 and 6,498.64 is: 9,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.88 : 29,471.76 = 6,498.64 : x
  2. Step 2: Convert to fraction form
    19,644.88/29,471.76 = 6,498.64/x
  3. Step 3: Cross multiply
    19,644.88x = 29,471.76 × 6,498.64
  4. Step 4: Simplify right side
    19,644.88x = 191,526,358.41
  5. Step 5: Solve for x
    x = 191,526,358.41/19,644.88
  6. Step 6: Final answer
    x = 9,749.43

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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.