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Finding the Fourth Proportional to 8,005.62, 11,047.14 and 4,819.08

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Solution

The fourth proportional to 8,005.62, 11,047.14 and 4,819.08 is: 6,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.62 : 11,047.14 = 4,819.08 : x
  2. Step 2: Convert to fraction form
    8,005.62/11,047.14 = 4,819.08/x
  3. Step 3: Cross multiply
    8,005.62x = 11,047.14 × 4,819.08
  4. Step 4: Simplify right side
    8,005.62x = 53,237,051.43
  5. Step 5: Solve for x
    x = 53,237,051.43/8,005.62
  6. Step 6: Final answer
    x = 6,649.96

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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.