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Finding the Fourth Proportional to 9,782.28, 14,674.14 and 5,401.80

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Solution

The fourth proportional to 9,782.28, 14,674.14 and 5,401.80 is: 8,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.28 : 14,674.14 = 5,401.80 : x
  2. Step 2: Convert to fraction form
    9,782.28/14,674.14 = 5,401.80/x
  3. Step 3: Cross multiply
    9,782.28x = 14,674.14 × 5,401.80
  4. Step 4: Simplify right side
    9,782.28x = 79,266,769.45
  5. Step 5: Solve for x
    x = 79,266,769.45/9,782.28
  6. Step 6: Final answer
    x = 8,103.10

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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.