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Finding the Fourth Proportional to 9,785.70, 14,682.90 and 3,953.70

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Solution

The fourth proportional to 9,785.70, 14,682.90 and 3,953.70 is: 5,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.70 : 14,682.90 = 3,953.70 : x
  2. Step 2: Convert to fraction form
    9,785.70/14,682.90 = 3,953.70/x
  3. Step 3: Cross multiply
    9,785.70x = 14,682.90 × 3,953.70
  4. Step 4: Simplify right side
    9,785.70x = 58,051,781.73
  5. Step 5: Solve for x
    x = 58,051,781.73/9,785.70
  6. Step 6: Final answer
    x = 5,932.31

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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.