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Finding the Fourth Proportional to 4,548.82, 6,823.23 and 1,470.82

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Solution

The fourth proportional to 4,548.82, 6,823.23 and 1,470.82 is: 2,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.82 : 6,823.23 = 1,470.82 : x
  2. Step 2: Convert to fraction form
    4,548.82/6,823.23 = 1,470.82/x
  3. Step 3: Cross multiply
    4,548.82x = 6,823.23 × 1,470.82
  4. Step 4: Simplify right side
    4,548.82x = 10,035,743.15
  5. Step 5: Solve for x
    x = 10,035,743.15/4,548.82
  6. Step 6: Final answer
    x = 2,206.23

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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.