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Finding the Fourth Proportional to 20,549.63, 30,824.25 and 6,509.62

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Solution

The fourth proportional to 20,549.63, 30,824.25 and 6,509.62 is: 9,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.63 : 30,824.25 = 6,509.62 : x
  2. Step 2: Convert to fraction form
    20,549.63/30,824.25 = 6,509.62/x
  3. Step 3: Cross multiply
    20,549.63x = 30,824.25 × 6,509.62
  4. Step 4: Simplify right side
    20,549.63x = 200,653,995.02
  5. Step 5: Solve for x
    x = 200,653,995.02/20,549.63
  6. Step 6: Final answer
    x = 9,764.36

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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.