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Finding the Fourth Proportional to 12,134.99, 16,746.83 and 6,830.15

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Solution

The fourth proportional to 12,134.99, 16,746.83 and 6,830.15 is: 9,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.99 : 16,746.83 = 6,830.15 : x
  2. Step 2: Convert to fraction form
    12,134.99/16,746.83 = 6,830.15/x
  3. Step 3: Cross multiply
    12,134.99x = 16,746.83 × 6,830.15
  4. Step 4: Simplify right side
    12,134.99x = 114,383,326.77
  5. Step 5: Solve for x
    x = 114,383,326.77/12,134.99
  6. Step 6: Final answer
    x = 9,425.91

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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.