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Finding the Fourth Proportional to 6,614.96, 9,128.63 and 3,630.80

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Solution

The fourth proportional to 6,614.96, 9,128.63 and 3,630.80 is: 5,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.96 : 9,128.63 = 3,630.80 : x
  2. Step 2: Convert to fraction form
    6,614.96/9,128.63 = 3,630.80/x
  3. Step 3: Cross multiply
    6,614.96x = 9,128.63 × 3,630.80
  4. Step 4: Simplify right side
    6,614.96x = 33,144,184.16
  5. Step 5: Solve for x
    x = 33,144,184.16/6,614.96
  6. Step 6: Final answer
    x = 5,010.49

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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.