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Finding the Fourth Proportional to 9,544.02, 13,171 and 5,563.68

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Solution

The fourth proportional to 9,544.02, 13,171 and 5,563.68 is: 7,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.02 : 13,171 = 5,563.68 : x
  2. Step 2: Convert to fraction form
    9,544.02/13,171 = 5,563.68/x
  3. Step 3: Cross multiply
    9,544.02x = 13,171 × 5,563.68
  4. Step 4: Simplify right side
    9,544.02x = 73,279,229.28
  5. Step 5: Solve for x
    x = 73,279,229.28/9,544.02
  6. Step 6: Final answer
    x = 7,678.03

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.