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Finding the Fourth Proportional to 5,998.48, 8,278.24 and 3,346

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Solution

The fourth proportional to 5,998.48, 8,278.24 and 3,346 is: 4,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.48 : 8,278.24 = 3,346 : x
  2. Step 2: Convert to fraction form
    5,998.48/8,278.24 = 3,346/x
  3. Step 3: Cross multiply
    5,998.48x = 8,278.24 × 3,346
  4. Step 4: Simplify right side
    5,998.48x = 27,698,991.04
  5. Step 5: Solve for x
    x = 27,698,991.04/5,998.48
  6. Step 6: Final answer
    x = 4,617.67

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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.