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Finding the Fourth Proportional to 12,314.80, 16,969.08 and 9,511.60

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Solution

The fourth proportional to 12,314.80, 16,969.08 and 9,511.60 is: 13,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.80 : 16,969.08 = 9,511.60 : x
  2. Step 2: Convert to fraction form
    12,314.80/16,969.08 = 9,511.60/x
  3. Step 3: Cross multiply
    12,314.80x = 16,969.08 × 9,511.60
  4. Step 4: Simplify right side
    12,314.80x = 161,403,101.33
  5. Step 5: Solve for x
    x = 161,403,101.33/12,314.80
  6. Step 6: Final answer
    x = 13,106.43

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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.