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Finding the Fourth Proportional to 19,538.63, 29,312.81 and 5,687.63

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Solution

The fourth proportional to 19,538.63, 29,312.81 and 5,687.63 is: 8,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.63 : 29,312.81 = 5,687.63 : x
  2. Step 2: Convert to fraction form
    19,538.63/29,312.81 = 5,687.63/x
  3. Step 3: Cross multiply
    19,538.63x = 29,312.81 × 5,687.63
  4. Step 4: Simplify right side
    19,538.63x = 166,720,242.54
  5. Step 5: Solve for x
    x = 166,720,242.54/19,538.63
  6. Step 6: Final answer
    x = 8,532.85

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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.