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Finding the Fourth Proportional to 6,104.70, 8,416.53 and 6,022.08

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Solution

The fourth proportional to 6,104.70, 8,416.53 and 6,022.08 is: 8,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.70 : 8,416.53 = 6,022.08 : x
  2. Step 2: Convert to fraction form
    6,104.70/8,416.53 = 6,022.08/x
  3. Step 3: Cross multiply
    6,104.70x = 8,416.53 × 6,022.08
  4. Step 4: Simplify right side
    6,104.70x = 50,685,016.98
  5. Step 5: Solve for x
    x = 50,685,016.98/6,104.70
  6. Step 6: Final answer
    x = 8,302.62

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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.