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Finding the Fourth Proportional to 9,078.08, 12,529 and 5,099.44

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Solution

The fourth proportional to 9,078.08, 12,529 and 5,099.44 is: 7,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.08 : 12,529 = 5,099.44 : x
  2. Step 2: Convert to fraction form
    9,078.08/12,529 = 5,099.44/x
  3. Step 3: Cross multiply
    9,078.08x = 12,529 × 5,099.44
  4. Step 4: Simplify right side
    9,078.08x = 63,890,883.76
  5. Step 5: Solve for x
    x = 63,890,883.76/9,078.08
  6. Step 6: Final answer
    x = 7,037.93

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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.