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Finding the Fourth Proportional to 5,946.75, 8,920.13 and 1,842.75

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Solution

The fourth proportional to 5,946.75, 8,920.13 and 1,842.75 is: 2,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.75 : 8,920.13 = 1,842.75 : x
  2. Step 2: Convert to fraction form
    5,946.75/8,920.13 = 1,842.75/x
  3. Step 3: Cross multiply
    5,946.75x = 8,920.13 × 1,842.75
  4. Step 4: Simplify right side
    5,946.75x = 16,437,560.34
  5. Step 5: Solve for x
    x = 16,437,560.34/5,946.75
  6. Step 6: Final answer
    x = 2,764.13

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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.