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Finding the Fourth Proportional to 36,902.89, 55,354.53 and 9,200.89

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Solution

The fourth proportional to 36,902.89, 55,354.53 and 9,200.89 is: 13,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.89 : 55,354.53 = 9,200.89 : x
  2. Step 2: Convert to fraction form
    36,902.89/55,354.53 = 9,200.89/x
  3. Step 3: Cross multiply
    36,902.89x = 55,354.53 × 9,200.89
  4. Step 4: Simplify right side
    36,902.89x = 509,310,941.53
  5. Step 5: Solve for x
    x = 509,310,941.53/36,902.89
  6. Step 6: Final answer
    x = 13,801.38

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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.