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Finding the Fourth Proportional to 15,083.16, 20,815.76 and 8,369.52

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Solution

The fourth proportional to 15,083.16, 20,815.76 and 8,369.52 is: 11,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.16 : 20,815.76 = 8,369.52 : x
  2. Step 2: Convert to fraction form
    15,083.16/20,815.76 = 8,369.52/x
  3. Step 3: Cross multiply
    15,083.16x = 20,815.76 × 8,369.52
  4. Step 4: Simplify right side
    15,083.16x = 174,217,919.64
  5. Step 5: Solve for x
    x = 174,217,919.64/15,083.16
  6. Step 6: Final answer
    x = 11,550.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.