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Finding the Fourth Proportional to 9,781.80, 14,672.70 and 5,845.20

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Solution

The fourth proportional to 9,781.80, 14,672.70 and 5,845.20 is: 8,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.80 : 14,672.70 = 5,845.20 : x
  2. Step 2: Convert to fraction form
    9,781.80/14,672.70 = 5,845.20/x
  3. Step 3: Cross multiply
    9,781.80x = 14,672.70 × 5,845.20
  4. Step 4: Simplify right side
    9,781.80x = 85,764,866.04
  5. Step 5: Solve for x
    x = 85,764,866.04/9,781.80
  6. Step 6: Final answer
    x = 8,767.80

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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.