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Finding the Fourth Proportional to 12,099.92, 16,698.54 and 6,795.50

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Solution

The fourth proportional to 12,099.92, 16,698.54 and 6,795.50 is: 9,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.92 : 16,698.54 = 6,795.50 : x
  2. Step 2: Convert to fraction form
    12,099.92/16,698.54 = 6,795.50/x
  3. Step 3: Cross multiply
    12,099.92x = 16,698.54 × 6,795.50
  4. Step 4: Simplify right side
    12,099.92x = 113,474,928.57
  5. Step 5: Solve for x
    x = 113,474,928.57/12,099.92
  6. Step 6: Final answer
    x = 9,378.16

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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.