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Finding the Fourth Proportional to 20,153.80, 30,231 and 7,006.62

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Solution

The fourth proportional to 20,153.80, 30,231 and 7,006.62 is: 10,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.80 : 30,231 = 7,006.62 : x
  2. Step 2: Convert to fraction form
    20,153.80/30,231 = 7,006.62/x
  3. Step 3: Cross multiply
    20,153.80x = 30,231 × 7,006.62
  4. Step 4: Simplify right side
    20,153.80x = 211,817,129.22
  5. Step 5: Solve for x
    x = 211,817,129.22/20,153.80
  6. Step 6: Final answer
    x = 10,510.03

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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.