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Finding the Fourth Proportional to 12,209.52, 16,850.16 and 7,495.32

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Solution

The fourth proportional to 12,209.52, 16,850.16 and 7,495.32 is: 10,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.52 : 16,850.16 = 7,495.32 : x
  2. Step 2: Convert to fraction form
    12,209.52/16,850.16 = 7,495.32/x
  3. Step 3: Cross multiply
    12,209.52x = 16,850.16 × 7,495.32
  4. Step 4: Simplify right side
    12,209.52x = 126,297,341.25
  5. Step 5: Solve for x
    x = 126,297,341.25/12,209.52
  6. Step 6: Final answer
    x = 10,344.17

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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.