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Finding the Fourth Proportional to 12,996.88, 19,503 and 6,423.76

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Solution

The fourth proportional to 12,996.88, 19,503 and 6,423.76 is: 9,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.88 : 19,503 = 6,423.76 : x
  2. Step 2: Convert to fraction form
    12,996.88/19,503 = 6,423.76/x
  3. Step 3: Cross multiply
    12,996.88x = 19,503 × 6,423.76
  4. Step 4: Simplify right side
    12,996.88x = 125,282,591.28
  5. Step 5: Solve for x
    x = 125,282,591.28/12,996.88
  6. Step 6: Final answer
    x = 9,639.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.