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Finding the Fourth Proportional to 9,650.63, 13,325.42 and 7,408.96

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Solution

The fourth proportional to 9,650.63, 13,325.42 and 7,408.96 is: 10,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.63 : 13,325.42 = 7,408.96 : x
  2. Step 2: Convert to fraction form
    9,650.63/13,325.42 = 7,408.96/x
  3. Step 3: Cross multiply
    9,650.63x = 13,325.42 × 7,408.96
  4. Step 4: Simplify right side
    9,650.63x = 98,727,488.97
  5. Step 5: Solve for x
    x = 98,727,488.97/9,650.63
  6. Step 6: Final answer
    x = 10,230.16

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Half scale
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Double 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.