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Finding the Fourth Proportional to 20,272.84, 30,409.05 and 6,421.84

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Solution

The fourth proportional to 20,272.84, 30,409.05 and 6,421.84 is: 9,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.84 : 30,409.05 = 6,421.84 : x
  2. Step 2: Convert to fraction form
    20,272.84/30,409.05 = 6,421.84/x
  3. Step 3: Cross multiply
    20,272.84x = 30,409.05 × 6,421.84
  4. Step 4: Simplify right side
    20,272.84x = 195,282,053.65
  5. Step 5: Solve for x
    x = 195,282,053.65/20,272.84
  6. Step 6: Final answer
    x = 9,632.69

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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.