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Finding the Fourth Proportional to 6,684.63, 10,024.12 and 2,005.32

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Solution

The fourth proportional to 6,684.63, 10,024.12 and 2,005.32 is: 3,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.63 : 10,024.12 = 2,005.32 : x
  2. Step 2: Convert to fraction form
    6,684.63/10,024.12 = 2,005.32/x
  3. Step 3: Cross multiply
    6,684.63x = 10,024.12 × 2,005.32
  4. Step 4: Simplify right side
    6,684.63x = 20,101,568.32
  5. Step 5: Solve for x
    x = 20,101,568.32/6,684.63
  6. Step 6: Final answer
    x = 3,007.13

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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.