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Finding the Fourth Proportional to 13,813.74, 19,052.82 and 8,773.65

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Solution

The fourth proportional to 13,813.74, 19,052.82 and 8,773.65 is: 12,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.74 : 19,052.82 = 8,773.65 : x
  2. Step 2: Convert to fraction form
    13,813.74/19,052.82 = 8,773.65/x
  3. Step 3: Cross multiply
    13,813.74x = 19,052.82 × 8,773.65
  4. Step 4: Simplify right side
    13,813.74x = 167,162,774.19
  5. Step 5: Solve for x
    x = 167,162,774.19/13,813.74
  6. Step 6: Final answer
    x = 12,101.20

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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.