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Finding the Fourth Proportional to 11,465.88, 17,214.78 and 5,923.32

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Solution

The fourth proportional to 11,465.88, 17,214.78 and 5,923.32 is: 8,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.88 : 17,214.78 = 5,923.32 : x
  2. Step 2: Convert to fraction form
    11,465.88/17,214.78 = 5,923.32/x
  3. Step 3: Cross multiply
    11,465.88x = 17,214.78 × 5,923.32
  4. Step 4: Simplify right side
    11,465.88x = 101,968,650.67
  5. Step 5: Solve for x
    x = 101,968,650.67/11,465.88
  6. Step 6: Final answer
    x = 8,893.23

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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.