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Finding the Fourth Proportional to 12,154.94, 16,773.59 and 6,849.65

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Solution

The fourth proportional to 12,154.94, 16,773.59 and 6,849.65 is: 9,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.94 : 16,773.59 = 6,849.65 : x
  2. Step 2: Convert to fraction form
    12,154.94/16,773.59 = 6,849.65/x
  3. Step 3: Cross multiply
    12,154.94x = 16,773.59 × 6,849.65
  4. Step 4: Simplify right side
    12,154.94x = 114,893,186.50
  5. Step 5: Solve for x
    x = 114,893,186.50/12,154.94
  6. Step 6: Final answer
    x = 9,452.39

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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.