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Finding the Fourth Proportional to 20,101, 30,153.66 and 9,012.64

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Solution

The fourth proportional to 20,101, 30,153.66 and 9,012.64 is: 13,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101 : 30,153.66 = 9,012.64 : x
  2. Step 2: Convert to fraction form
    20,101/30,153.66 = 9,012.64/x
  3. Step 3: Cross multiply
    20,101x = 30,153.66 × 9,012.64
  4. Step 4: Simplify right side
    20,101x = 271,764,082.26
  5. Step 5: Solve for x
    x = 271,764,082.26/20,101
  6. Step 6: Final answer
    x = 13,519.93

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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.