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Finding the Fourth Proportional to 12,299.74, 16,972.02 and 6,993.40

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Solution

The fourth proportional to 12,299.74, 16,972.02 and 6,993.40 is: 9,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.74 : 16,972.02 = 6,993.40 : x
  2. Step 2: Convert to fraction form
    12,299.74/16,972.02 = 6,993.40/x
  3. Step 3: Cross multiply
    12,299.74x = 16,972.02 × 6,993.40
  4. Step 4: Simplify right side
    12,299.74x = 118,692,124.67
  5. Step 5: Solve for x
    x = 118,692,124.67/12,299.74
  6. Step 6: Final answer
    x = 9,649.97

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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.