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Finding the Fourth Proportional to 7,144, 9,859.08 and 4,349.68

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Solution

The fourth proportional to 7,144, 9,859.08 and 4,349.68 is: 6,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144 : 9,859.08 = 4,349.68 : x
  2. Step 2: Convert to fraction form
    7,144/9,859.08 = 4,349.68/x
  3. Step 3: Cross multiply
    7,144x = 9,859.08 × 4,349.68
  4. Step 4: Simplify right side
    7,144x = 42,883,843.09
  5. Step 5: Solve for x
    x = 42,883,843.09/7,144
  6. Step 6: Final answer
    x = 6,002.78

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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.