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Finding the Fourth Proportional to 5,945.94, 8,188.68 and 5,816.76

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Solution

The fourth proportional to 5,945.94, 8,188.68 and 5,816.76 is: 8,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.94 : 8,188.68 = 5,816.76 : x
  2. Step 2: Convert to fraction form
    5,945.94/8,188.68 = 5,816.76/x
  3. Step 3: Cross multiply
    5,945.94x = 8,188.68 × 5,816.76
  4. Step 4: Simplify right side
    5,945.94x = 47,631,586.28
  5. Step 5: Solve for x
    x = 47,631,586.28/5,945.94
  6. Step 6: Final answer
    x = 8,010.77

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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.