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Finding the Fourth Proportional to 20,349.90, 30,537 and 7,213.32

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Solution

The fourth proportional to 20,349.90, 30,537 and 7,213.32 is: 10,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.90 : 30,537 = 7,213.32 : x
  2. Step 2: Convert to fraction form
    20,349.90/30,537 = 7,213.32/x
  3. Step 3: Cross multiply
    20,349.90x = 30,537 × 7,213.32
  4. Step 4: Simplify right side
    20,349.90x = 220,273,152.84
  5. Step 5: Solve for x
    x = 220,273,152.84/20,349.90
  6. Step 6: Final answer
    x = 10,824.29

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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.