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Finding the Fourth Proportional to 12,732.94, 17,566.64 and 9,383.74

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Solution

The fourth proportional to 12,732.94, 17,566.64 and 9,383.74 is: 12,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.94 : 17,566.64 = 9,383.74 : x
  2. Step 2: Convert to fraction form
    12,732.94/17,566.64 = 9,383.74/x
  3. Step 3: Cross multiply
    12,732.94x = 17,566.64 × 9,383.74
  4. Step 4: Simplify right side
    12,732.94x = 164,840,782.43
  5. Step 5: Solve for x
    x = 164,840,782.43/12,732.94
  6. Step 6: Final answer
    x = 12,946.01

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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.