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Finding the Fourth Proportional to 5,902.48, 8,834.49 and 4,342.09

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Solution

The fourth proportional to 5,902.48, 8,834.49 and 4,342.09 is: 6,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.48 : 8,834.49 = 4,342.09 : x
  2. Step 2: Convert to fraction form
    5,902.48/8,834.49 = 4,342.09/x
  3. Step 3: Cross multiply
    5,902.48x = 8,834.49 × 4,342.09
  4. Step 4: Simplify right side
    5,902.48x = 38,360,150.68
  5. Step 5: Solve for x
    x = 38,360,150.68/5,902.48
  6. Step 6: Final answer
    x = 6,498.99

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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.