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Finding the Fourth Proportional to 10,684.51, 14,745.49 and 5,904.88

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Solution

The fourth proportional to 10,684.51, 14,745.49 and 5,904.88 is: 8,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.51 : 14,745.49 = 5,904.88 : x
  2. Step 2: Convert to fraction form
    10,684.51/14,745.49 = 5,904.88/x
  3. Step 3: Cross multiply
    10,684.51x = 14,745.49 × 5,904.88
  4. Step 4: Simplify right side
    10,684.51x = 87,070,297.37
  5. Step 5: Solve for x
    x = 87,070,297.37/10,684.51
  6. Step 6: Final answer
    x = 8,149.21

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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.