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Finding the Fourth Proportional to 12,287.54, 16,957.24 and 6,983.24

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Solution

The fourth proportional to 12,287.54, 16,957.24 and 6,983.24 is: 9,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.54 : 16,957.24 = 6,983.24 : x
  2. Step 2: Convert to fraction form
    12,287.54/16,957.24 = 6,983.24/x
  3. Step 3: Cross multiply
    12,287.54x = 16,957.24 × 6,983.24
  4. Step 4: Simplify right side
    12,287.54x = 118,416,476.66
  5. Step 5: Solve for x
    x = 118,416,476.66/12,287.54
  6. Step 6: Final answer
    x = 9,637.12

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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.