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Finding the Fourth Proportional to 20,097.69, 30,136.95 and 9,004.47

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Solution

The fourth proportional to 20,097.69, 30,136.95 and 9,004.47 is: 13,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.69 : 30,136.95 = 9,004.47 : x
  2. Step 2: Convert to fraction form
    20,097.69/30,136.95 = 9,004.47/x
  3. Step 3: Cross multiply
    20,097.69x = 30,136.95 × 9,004.47
  4. Step 4: Simplify right side
    20,097.69x = 271,367,262.17
  5. Step 5: Solve for x
    x = 271,367,262.17/20,097.69
  6. Step 6: Final answer
    x = 13,502.41

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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.