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Finding the Fourth Proportional to 12,118.34, 16,723.68 and 6,813.02

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Solution

The fourth proportional to 12,118.34, 16,723.68 and 6,813.02 is: 9,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.34 : 16,723.68 = 6,813.02 : x
  2. Step 2: Convert to fraction form
    12,118.34/16,723.68 = 6,813.02/x
  3. Step 3: Cross multiply
    12,118.34x = 16,723.68 × 6,813.02
  4. Step 4: Simplify right side
    12,118.34x = 113,938,766.31
  5. Step 5: Solve for x
    x = 113,938,766.31/12,118.34
  6. Step 6: Final answer
    x = 9,402.18

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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.