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Finding the Fourth Proportional to 15,097.77, 20,812.06 and 10,614.42

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Solution

The fourth proportional to 15,097.77, 20,812.06 and 10,614.42 is: 14,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.77 : 20,812.06 = 10,614.42 : x
  2. Step 2: Convert to fraction form
    15,097.77/20,812.06 = 10,614.42/x
  3. Step 3: Cross multiply
    15,097.77x = 20,812.06 × 10,614.42
  4. Step 4: Simplify right side
    15,097.77x = 220,907,945.91
  5. Step 5: Solve for x
    x = 220,907,945.91/15,097.77
  6. Step 6: Final answer
    x = 14,631.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.