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Finding the Fourth Proportional to 8,735.94, 12,055.50 and 5,199.21

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Solution

The fourth proportional to 8,735.94, 12,055.50 and 5,199.21 is: 7,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.94 : 12,055.50 = 5,199.21 : x
  2. Step 2: Convert to fraction form
    8,735.94/12,055.50 = 5,199.21/x
  3. Step 3: Cross multiply
    8,735.94x = 12,055.50 × 5,199.21
  4. Step 4: Simplify right side
    8,735.94x = 62,679,076.16
  5. Step 5: Solve for x
    x = 62,679,076.16/8,735.94
  6. Step 6: Final answer
    x = 7,174.85

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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.