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Finding the Fourth Proportional to 15,785.64, 21,786.66 and 9,739.41

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Solution

The fourth proportional to 15,785.64, 21,786.66 and 9,739.41 is: 13,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.64 : 21,786.66 = 9,739.41 : x
  2. Step 2: Convert to fraction form
    15,785.64/21,786.66 = 9,739.41/x
  3. Step 3: Cross multiply
    15,785.64x = 21,786.66 × 9,739.41
  4. Step 4: Simplify right side
    15,785.64x = 212,189,214.27
  5. Step 5: Solve for x
    x = 212,189,214.27/15,785.64
  6. Step 6: Final answer
    x = 13,441.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.