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Finding the Fourth Proportional to 12,274.64, 16,938.40 and 6,968.76

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Solution

The fourth proportional to 12,274.64, 16,938.40 and 6,968.76 is: 9,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.64 : 16,938.40 = 6,968.76 : x
  2. Step 2: Convert to fraction form
    12,274.64/16,938.40 = 6,968.76/x
  3. Step 3: Cross multiply
    12,274.64x = 16,938.40 × 6,968.76
  4. Step 4: Simplify right side
    12,274.64x = 118,039,644.38
  5. Step 5: Solve for x
    x = 118,039,644.38/12,274.64
  6. Step 6: Final answer
    x = 9,616.55

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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.