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Finding the Fourth Proportional to 12,013.74, 16,578.92 and 6,709.80

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Solution

The fourth proportional to 12,013.74, 16,578.92 and 6,709.80 is: 9,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.74 : 16,578.92 = 6,709.80 : x
  2. Step 2: Convert to fraction form
    12,013.74/16,578.92 = 6,709.80/x
  3. Step 3: Cross multiply
    12,013.74x = 16,578.92 × 6,709.80
  4. Step 4: Simplify right side
    12,013.74x = 111,241,237.42
  5. Step 5: Solve for x
    x = 111,241,237.42/12,013.74
  6. Step 6: Final answer
    x = 9,259.50

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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.