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Finding the Fourth Proportional to 8,005.64, 12,008.45 and 2,162.40

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Solution

The fourth proportional to 8,005.64, 12,008.45 and 2,162.40 is: 3,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.64 : 12,008.45 = 2,162.40 : x
  2. Step 2: Convert to fraction form
    8,005.64/12,008.45 = 2,162.40/x
  3. Step 3: Cross multiply
    8,005.64x = 12,008.45 × 2,162.40
  4. Step 4: Simplify right side
    8,005.64x = 25,967,032.65
  5. Step 5: Solve for x
    x = 25,967,032.65/8,005.64
  6. Step 6: Final answer
    x = 3,243.59

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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.