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Finding the Fourth Proportional to 9,874.40, 14,822.40 and 6,180.80

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Solution

The fourth proportional to 9,874.40, 14,822.40 and 6,180.80 is: 9,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.40 : 14,822.40 = 6,180.80 : x
  2. Step 2: Convert to fraction form
    9,874.40/14,822.40 = 6,180.80/x
  3. Step 3: Cross multiply
    9,874.40x = 14,822.40 × 6,180.80
  4. Step 4: Simplify right side
    9,874.40x = 91,614,289.92
  5. Step 5: Solve for x
    x = 91,614,289.92/9,874.40
  6. Step 6: Final answer
    x = 9,277.96

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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.