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Finding the Fourth Proportional to 8,313.40, 11,463.42 and 8,229.16

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Solution

The fourth proportional to 8,313.40, 11,463.42 and 8,229.16 is: 11,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.40 : 11,463.42 = 8,229.16 : x
  2. Step 2: Convert to fraction form
    8,313.40/11,463.42 = 8,229.16/x
  3. Step 3: Cross multiply
    8,313.40x = 11,463.42 × 8,229.16
  4. Step 4: Simplify right side
    8,313.40x = 94,334,317.33
  5. Step 5: Solve for x
    x = 94,334,317.33/8,313.40
  6. Step 6: Final answer
    x = 11,347.26

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Half scale
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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.