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Finding the Fourth Proportional to 6,571.80, 9,070.92 and 4,213.62

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Solution

The fourth proportional to 6,571.80, 9,070.92 and 4,213.62 is: 5,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.80 : 9,070.92 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    6,571.80/9,070.92 = 4,213.62/x
  3. Step 3: Cross multiply
    6,571.80x = 9,070.92 × 4,213.62
  4. Step 4: Simplify right side
    6,571.80x = 38,221,409.93
  5. Step 5: Solve for x
    x = 38,221,409.93/6,571.80
  6. Step 6: Final answer
    x = 5,815.97

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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.