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Finding the Fourth Proportional to 8,295.43, 12,424.46 and 4,777.09

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Solution

The fourth proportional to 8,295.43, 12,424.46 and 4,777.09 is: 7,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.43 : 12,424.46 = 4,777.09 : x
  2. Step 2: Convert to fraction form
    8,295.43/12,424.46 = 4,777.09/x
  3. Step 3: Cross multiply
    8,295.43x = 12,424.46 × 4,777.09
  4. Step 4: Simplify right side
    8,295.43x = 59,352,763.62
  5. Step 5: Solve for x
    x = 59,352,763.62/8,295.43
  6. Step 6: Final answer
    x = 7,154.87

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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.