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Finding the Fourth Proportional to 12,274.92, 16,938.50 and 6,969.88

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Solution

The fourth proportional to 12,274.92, 16,938.50 and 6,969.88 is: 9,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.92 : 16,938.50 = 6,969.88 : x
  2. Step 2: Convert to fraction form
    12,274.92/16,938.50 = 6,969.88/x
  3. Step 3: Cross multiply
    12,274.92x = 16,938.50 × 6,969.88
  4. Step 4: Simplify right side
    12,274.92x = 118,059,312.38
  5. Step 5: Solve for x
    x = 118,059,312.38/12,274.92
  6. Step 6: Final answer
    x = 9,617.93

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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.