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Finding the Fourth Proportional to 20,180.79, 30,271.25 and 9,785.25

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Solution

The fourth proportional to 20,180.79, 30,271.25 and 9,785.25 is: 14,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.79 : 30,271.25 = 9,785.25 : x
  2. Step 2: Convert to fraction form
    20,180.79/30,271.25 = 9,785.25/x
  3. Step 3: Cross multiply
    20,180.79x = 30,271.25 × 9,785.25
  4. Step 4: Simplify right side
    20,180.79x = 296,211,773.53
  5. Step 5: Solve for x
    x = 296,211,773.53/20,180.79
  6. Step 6: Final answer
    x = 14,677.91

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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.