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Finding the Fourth Proportional to 12,309.80, 16,988.94 and 7,005.44

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Solution

The fourth proportional to 12,309.80, 16,988.94 and 7,005.44 is: 9,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.80 : 16,988.94 = 7,005.44 : x
  2. Step 2: Convert to fraction form
    12,309.80/16,988.94 = 7,005.44/x
  3. Step 3: Cross multiply
    12,309.80x = 16,988.94 × 7,005.44
  4. Step 4: Simplify right side
    12,309.80x = 119,015,042.31
  5. Step 5: Solve for x
    x = 119,015,042.31/12,309.80
  6. Step 6: Final answer
    x = 9,668.32

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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.