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Finding the Fourth Proportional to 7,089, 9,785.97 and 5,200.56

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Solution

The fourth proportional to 7,089, 9,785.97 and 5,200.56 is: 7,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089 : 9,785.97 = 5,200.56 : x
  2. Step 2: Convert to fraction form
    7,089/9,785.97 = 5,200.56/x
  3. Step 3: Cross multiply
    7,089x = 9,785.97 × 5,200.56
  4. Step 4: Simplify right side
    7,089x = 50,892,524.14
  5. Step 5: Solve for x
    x = 50,892,524.14/7,089
  6. Step 6: Final answer
    x = 7,179.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.