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Finding the Fourth Proportional to 8,000.86, 11,041.17 and 4,645.64

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Solution

The fourth proportional to 8,000.86, 11,041.17 and 4,645.64 is: 6,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.86 : 11,041.17 = 4,645.64 : x
  2. Step 2: Convert to fraction form
    8,000.86/11,041.17 = 4,645.64/x
  3. Step 3: Cross multiply
    8,000.86x = 11,041.17 × 4,645.64
  4. Step 4: Simplify right side
    8,000.86x = 51,293,301.00
  5. Step 5: Solve for x
    x = 51,293,301.00/8,000.86
  6. Step 6: Final answer
    x = 6,410.97

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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.