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Finding the Fourth Proportional to 9,852.03, 13,593.72 and 5,874.42

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Solution

The fourth proportional to 9,852.03, 13,593.72 and 5,874.42 is: 8,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.03 : 13,593.72 = 5,874.42 : x
  2. Step 2: Convert to fraction form
    9,852.03/13,593.72 = 5,874.42/x
  3. Step 3: Cross multiply
    9,852.03x = 13,593.72 × 5,874.42
  4. Step 4: Simplify right side
    9,852.03x = 79,855,293.65
  5. Step 5: Solve for x
    x = 79,855,293.65/9,852.03
  6. Step 6: Final answer
    x = 8,105.47

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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.