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Finding the Fourth Proportional to 8,007.48, 12,005.10 and 3,081.24

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Solution

The fourth proportional to 8,007.48, 12,005.10 and 3,081.24 is: 4,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.48 : 12,005.10 = 3,081.24 : x
  2. Step 2: Convert to fraction form
    8,007.48/12,005.10 = 3,081.24/x
  3. Step 3: Cross multiply
    8,007.48x = 12,005.10 × 3,081.24
  4. Step 4: Simplify right side
    8,007.48x = 36,990,594.32
  5. Step 5: Solve for x
    x = 36,990,594.32/8,007.48
  6. Step 6: Final answer
    x = 4,619.51

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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.