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Finding the Fourth Proportional to 9,775.20, 14,662.17 and 4,224.63

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Solution

The fourth proportional to 9,775.20, 14,662.17 and 4,224.63 is: 6,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.20 : 14,662.17 = 4,224.63 : x
  2. Step 2: Convert to fraction form
    9,775.20/14,662.17 = 4,224.63/x
  3. Step 3: Cross multiply
    9,775.20x = 14,662.17 × 4,224.63
  4. Step 4: Simplify right side
    9,775.20x = 61,942,243.25
  5. Step 5: Solve for x
    x = 61,942,243.25/9,775.20
  6. Step 6: Final answer
    x = 6,336.67

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Double scale
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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.