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Finding the Fourth Proportional to 19,697.49, 29,505.20 and 9,806.76

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Solution

The fourth proportional to 19,697.49, 29,505.20 and 9,806.76 is: 14,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.49 : 29,505.20 = 9,806.76 : x
  2. Step 2: Convert to fraction form
    19,697.49/29,505.20 = 9,806.76/x
  3. Step 3: Cross multiply
    19,697.49x = 29,505.20 × 9,806.76
  4. Step 4: Simplify right side
    19,697.49x = 289,350,366.12
  5. Step 5: Solve for x
    x = 289,350,366.12/19,697.49
  6. Step 6: Final answer
    x = 14,689.71

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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.