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Finding the Fourth Proportional to 20,509.97, 30,766.46 and 7,362.45

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Solution

The fourth proportional to 20,509.97, 30,766.46 and 7,362.45 is: 11,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.97 : 30,766.46 = 7,362.45 : x
  2. Step 2: Convert to fraction form
    20,509.97/30,766.46 = 7,362.45/x
  3. Step 3: Cross multiply
    20,509.97x = 30,766.46 × 7,362.45
  4. Step 4: Simplify right side
    20,509.97x = 226,516,486.61
  5. Step 5: Solve for x
    x = 226,516,486.61/20,509.97
  6. Step 6: Final answer
    x = 11,044.22

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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.