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Finding the Fourth Proportional to 31,863.40, 47,793.72 and 9,676.28

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Solution

The fourth proportional to 31,863.40, 47,793.72 and 9,676.28 is: 14,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.40 : 47,793.72 = 9,676.28 : x
  2. Step 2: Convert to fraction form
    31,863.40/47,793.72 = 9,676.28/x
  3. Step 3: Cross multiply
    31,863.40x = 47,793.72 × 9,676.28
  4. Step 4: Simplify right side
    31,863.40x = 462,465,416.96
  5. Step 5: Solve for x
    x = 462,465,416.96/31,863.40
  6. Step 6: Final answer
    x = 14,514.00

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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.