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Finding the Fourth Proportional to 5,996.76, 8,276.76 and 4,005.78

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Solution

The fourth proportional to 5,996.76, 8,276.76 and 4,005.78 is: 5,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.76 : 8,276.76 = 4,005.78 : x
  2. Step 2: Convert to fraction form
    5,996.76/8,276.76 = 4,005.78/x
  3. Step 3: Cross multiply
    5,996.76x = 8,276.76 × 4,005.78
  4. Step 4: Simplify right side
    5,996.76x = 33,154,879.67
  5. Step 5: Solve for x
    x = 33,154,879.67/5,996.76
  6. Step 6: Final answer
    x = 5,528.80

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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.