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Finding the Fourth Proportional to 31,099.17, 46,647.88 and 7,725.54

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Solution

The fourth proportional to 31,099.17, 46,647.88 and 7,725.54 is: 11,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.17 : 46,647.88 = 7,725.54 : x
  2. Step 2: Convert to fraction form
    31,099.17/46,647.88 = 7,725.54/x
  3. Step 3: Cross multiply
    31,099.17x = 46,647.88 × 7,725.54
  4. Step 4: Simplify right side
    31,099.17x = 360,380,043.54
  5. Step 5: Solve for x
    x = 360,380,043.54/31,099.17
  6. Step 6: Final answer
    x = 11,588.09

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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.