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Finding the Fourth Proportional to 11,249.64, 15,411.93 and 10,829.10

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Solution

The fourth proportional to 11,249.64, 15,411.93 and 10,829.10 is: 14,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.64 : 15,411.93 = 10,829.10 : x
  2. Step 2: Convert to fraction form
    11,249.64/15,411.93 = 10,829.10/x
  3. Step 3: Cross multiply
    11,249.64x = 15,411.93 × 10,829.10
  4. Step 4: Simplify right side
    11,249.64x = 166,897,331.16
  5. Step 5: Solve for x
    x = 166,897,331.16/11,249.64
  6. Step 6: Final answer
    x = 14,835.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.