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Finding the Fourth Proportional to 10,057.68, 13,879.58 and 6,078.06

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Solution

The fourth proportional to 10,057.68, 13,879.58 and 6,078.06 is: 8,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.68 : 13,879.58 = 6,078.06 : x
  2. Step 2: Convert to fraction form
    10,057.68/13,879.58 = 6,078.06/x
  3. Step 3: Cross multiply
    10,057.68x = 13,879.58 × 6,078.06
  4. Step 4: Simplify right side
    10,057.68x = 84,360,889.62
  5. Step 5: Solve for x
    x = 84,360,889.62/10,057.68
  6. Step 6: Final answer
    x = 8,387.71

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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.