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Finding the Fourth Proportional to 12,299.04, 16,972.46 and 6,993.74

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Solution

The fourth proportional to 12,299.04, 16,972.46 and 6,993.74 is: 9,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.04 : 16,972.46 = 6,993.74 : x
  2. Step 2: Convert to fraction form
    12,299.04/16,972.46 = 6,993.74/x
  3. Step 3: Cross multiply
    12,299.04x = 16,972.46 × 6,993.74
  4. Step 4: Simplify right side
    12,299.04x = 118,700,905.02
  5. Step 5: Solve for x
    x = 118,700,905.02/12,299.04
  6. Step 6: Final answer
    x = 9,651.23

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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.