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Finding the Fourth Proportional to 7,668.80, 11,447.23 and 6,580.16

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Solution

The fourth proportional to 7,668.80, 11,447.23 and 6,580.16 is: 9,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.80 : 11,447.23 = 6,580.16 : x
  2. Step 2: Convert to fraction form
    7,668.80/11,447.23 = 6,580.16/x
  3. Step 3: Cross multiply
    7,668.80x = 11,447.23 × 6,580.16
  4. Step 4: Simplify right side
    7,668.80x = 75,324,604.96
  5. Step 5: Solve for x
    x = 75,324,604.96/7,668.80
  6. Step 6: Final answer
    x = 9,822.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.