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Finding the Fourth Proportional to 12,287.64, 16,957.12 and 6,698.64

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Solution

The fourth proportional to 12,287.64, 16,957.12 and 6,698.64 is: 9,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.64 : 16,957.12 = 6,698.64 : x
  2. Step 2: Convert to fraction form
    12,287.64/16,957.12 = 6,698.64/x
  3. Step 3: Cross multiply
    12,287.64x = 16,957.12 × 6,698.64
  4. Step 4: Simplify right side
    12,287.64x = 113,589,642.32
  5. Step 5: Solve for x
    x = 113,589,642.32/12,287.64
  6. Step 6: Final answer
    x = 9,244.22

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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.