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Finding the Fourth Proportional to 9,778.70, 14,666.56 and 3,204.88

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Solution

The fourth proportional to 9,778.70, 14,666.56 and 3,204.88 is: 4,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.70 : 14,666.56 = 3,204.88 : x
  2. Step 2: Convert to fraction form
    9,778.70/14,666.56 = 3,204.88/x
  3. Step 3: Cross multiply
    9,778.70x = 14,666.56 × 3,204.88
  4. Step 4: Simplify right side
    9,778.70x = 47,004,564.81
  5. Step 5: Solve for x
    x = 47,004,564.81/9,778.70
  6. Step 6: Final answer
    x = 4,806.83

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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.