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Finding the Fourth Proportional to 19,298, 28,949.70 and 5,972.10

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Solution

The fourth proportional to 19,298, 28,949.70 and 5,972.10 is: 8,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 28,949.70 = 5,972.10 : x
  2. Step 2: Convert to fraction form
    19,298/28,949.70 = 5,972.10/x
  3. Step 3: Cross multiply
    19,298x = 28,949.70 × 5,972.10
  4. Step 4: Simplify right side
    19,298x = 172,890,503.37
  5. Step 5: Solve for x
    x = 172,890,503.37/19,298
  6. Step 6: Final answer
    x = 8,958.99

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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.