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Finding the Fourth Proportional to 4,470.89, 6,707.22 and 1,548.80

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Solution

The fourth proportional to 4,470.89, 6,707.22 and 1,548.80 is: 2,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.89 : 6,707.22 = 1,548.80 : x
  2. Step 2: Convert to fraction form
    4,470.89/6,707.22 = 1,548.80/x
  3. Step 3: Cross multiply
    4,470.89x = 6,707.22 × 1,548.80
  4. Step 4: Simplify right side
    4,470.89x = 10,388,142.34
  5. Step 5: Solve for x
    x = 10,388,142.34/4,470.89
  6. Step 6: Final answer
    x = 2,323.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.