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Finding the Fourth Proportional to 7,369, 10,102.90 and 7,235.73

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Solution

The fourth proportional to 7,369, 10,102.90 and 7,235.73 is: 9,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369 : 10,102.90 = 7,235.73 : x
  2. Step 2: Convert to fraction form
    7,369/10,102.90 = 7,235.73/x
  3. Step 3: Cross multiply
    7,369x = 10,102.90 × 7,235.73
  4. Step 4: Simplify right side
    7,369x = 73,101,856.62
  5. Step 5: Solve for x
    x = 73,101,856.62/7,369
  6. Step 6: Final answer
    x = 9,920.19

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Half scale
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Double scale
Find fourth proportional to 7,370, 10,104.27 and 7,236.73
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.