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Finding the Fourth Proportional to 8,005.43, 12,007.58 and 3,323.68

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Solution

The fourth proportional to 8,005.43, 12,007.58 and 3,323.68 is: 4,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.43 : 12,007.58 = 3,323.68 : x
  2. Step 2: Convert to fraction form
    8,005.43/12,007.58 = 3,323.68/x
  3. Step 3: Cross multiply
    8,005.43x = 12,007.58 × 3,323.68
  4. Step 4: Simplify right side
    8,005.43x = 39,909,293.46
  5. Step 5: Solve for x
    x = 39,909,293.46/8,005.43
  6. Step 6: Final answer
    x = 4,985.28

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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.