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Finding the Fourth Proportional to 8,001, 11,042.96 and 4,644.54

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Solution

The fourth proportional to 8,001, 11,042.96 and 4,644.54 is: 6,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 11,042.96 = 4,644.54 : x
  2. Step 2: Convert to fraction form
    8,001/11,042.96 = 4,644.54/x
  3. Step 3: Cross multiply
    8,001x = 11,042.96 × 4,644.54
  4. Step 4: Simplify right side
    8,001x = 51,289,446.22
  5. Step 5: Solve for x
    x = 51,289,446.22/8,001
  6. Step 6: Final answer
    x = 6,410.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 8,002, 11,044.34 and 4,645.54
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.