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Finding the Fourth Proportional to 10,057.92, 15,083.92 and 3,813.42

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Solution

The fourth proportional to 10,057.92, 15,083.92 and 3,813.42 is: 5,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.92 : 15,083.92 = 3,813.42 : x
  2. Step 2: Convert to fraction form
    10,057.92/15,083.92 = 3,813.42/x
  3. Step 3: Cross multiply
    10,057.92x = 15,083.92 × 3,813.42
  4. Step 4: Simplify right side
    10,057.92x = 57,521,322.21
  5. Step 5: Solve for x
    x = 57,521,322.21/10,057.92
  6. Step 6: Final answer
    x = 5,719.01

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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.