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Finding the Fourth Proportional to 4,882.36, 7,354.29 and 4,446.38

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Solution

The fourth proportional to 4,882.36, 7,354.29 and 4,446.38 is: 6,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.36 : 7,354.29 = 4,446.38 : x
  2. Step 2: Convert to fraction form
    4,882.36/7,354.29 = 4,446.38/x
  3. Step 3: Cross multiply
    4,882.36x = 7,354.29 × 4,446.38
  4. Step 4: Simplify right side
    4,882.36x = 32,699,967.97
  5. Step 5: Solve for x
    x = 32,699,967.97/4,882.36
  6. Step 6: Final answer
    x = 6,697.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.