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Finding the Fourth Proportional to 23,789.64, 35,683.08 and 7,149.30

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Solution

The fourth proportional to 23,789.64, 35,683.08 and 7,149.30 is: 10,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.64 : 35,683.08 = 7,149.30 : x
  2. Step 2: Convert to fraction form
    23,789.64/35,683.08 = 7,149.30/x
  3. Step 3: Cross multiply
    23,789.64x = 35,683.08 × 7,149.30
  4. Step 4: Simplify right side
    23,789.64x = 255,109,043.84
  5. Step 5: Solve for x
    x = 255,109,043.84/23,789.64
  6. Step 6: Final answer
    x = 10,723.54

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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.