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Finding the Fourth Proportional to 8,005.63, 12,008.51 and 2,811.50

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Solution

The fourth proportional to 8,005.63, 12,008.51 and 2,811.50 is: 4,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.63 : 12,008.51 = 2,811.50 : x
  2. Step 2: Convert to fraction form
    8,005.63/12,008.51 = 2,811.50/x
  3. Step 3: Cross multiply
    8,005.63x = 12,008.51 × 2,811.50
  4. Step 4: Simplify right side
    8,005.63x = 33,761,925.87
  5. Step 5: Solve for x
    x = 33,761,925.87/8,005.63
  6. Step 6: Final answer
    x = 4,217.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.