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Finding the Fourth Proportional to 9,609.96, 13,262.76 and 5,631.24

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Solution

The fourth proportional to 9,609.96, 13,262.76 and 5,631.24 is: 7,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.96 : 13,262.76 = 5,631.24 : x
  2. Step 2: Convert to fraction form
    9,609.96/13,262.76 = 5,631.24/x
  3. Step 3: Cross multiply
    9,609.96x = 13,262.76 × 5,631.24
  4. Step 4: Simplify right side
    9,609.96x = 74,685,784.62
  5. Step 5: Solve for x
    x = 74,685,784.62/9,609.96
  6. Step 6: Final answer
    x = 7,771.71

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Half scale
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Similar ratio
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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.