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Finding the Fourth Proportional to 12,134.51, 16,745.59 and 6,829.34

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Solution

The fourth proportional to 12,134.51, 16,745.59 and 6,829.34 is: 9,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.51 : 16,745.59 = 6,829.34 : x
  2. Step 2: Convert to fraction form
    12,134.51/16,745.59 = 6,829.34/x
  3. Step 3: Cross multiply
    12,134.51x = 16,745.59 × 6,829.34
  4. Step 4: Simplify right side
    12,134.51x = 114,361,209.74
  5. Step 5: Solve for x
    x = 114,361,209.74/12,134.51
  6. Step 6: Final answer
    x = 9,424.46

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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.