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Finding the Fourth Proportional to 12,250.94, 16,905.78 and 6,946.11

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Solution

The fourth proportional to 12,250.94, 16,905.78 and 6,946.11 is: 9,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250.94 : 16,905.78 = 6,946.11 : x
  2. Step 2: Convert to fraction form
    12,250.94/16,905.78 = 6,946.11/x
  3. Step 3: Cross multiply
    12,250.94x = 16,905.78 × 6,946.11
  4. Step 4: Simplify right side
    12,250.94x = 117,429,407.52
  5. Step 5: Solve for x
    x = 117,429,407.52/12,250.94
  6. Step 6: Final answer
    x = 9,585.34

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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.