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Finding the Fourth Proportional to 11,448.93, 15,800.12 and 6,414.27

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Solution

The fourth proportional to 11,448.93, 15,800.12 and 6,414.27 is: 8,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.93 : 15,800.12 = 6,414.27 : x
  2. Step 2: Convert to fraction form
    11,448.93/15,800.12 = 6,414.27/x
  3. Step 3: Cross multiply
    11,448.93x = 15,800.12 × 6,414.27
  4. Step 4: Simplify right side
    11,448.93x = 101,346,203.64
  5. Step 5: Solve for x
    x = 101,346,203.64/11,448.93
  6. Step 6: Final answer
    x = 8,852.02

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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.