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Finding the Fourth Proportional to 19,097.70, 28,658.70 and 11,200.20

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Solution

The fourth proportional to 19,097.70, 28,658.70 and 11,200.20 is: 16,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.70 : 28,658.70 = 11,200.20 : x
  2. Step 2: Convert to fraction form
    19,097.70/28,658.70 = 11,200.20/x
  3. Step 3: Cross multiply
    19,097.70x = 28,658.70 × 11,200.20
  4. Step 4: Simplify right side
    19,097.70x = 320,983,171.74
  5. Step 5: Solve for x
    x = 320,983,171.74/19,097.70
  6. Step 6: Final answer
    x = 16,807.43

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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.