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Finding the Fourth Proportional to 8,502.90, 12,745.23 and 4,114.32

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Solution

The fourth proportional to 8,502.90, 12,745.23 and 4,114.32 is: 6,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.90 : 12,745.23 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    8,502.90/12,745.23 = 4,114.32/x
  3. Step 3: Cross multiply
    8,502.90x = 12,745.23 × 4,114.32
  4. Step 4: Simplify right side
    8,502.90x = 52,437,954.69
  5. Step 5: Solve for x
    x = 52,437,954.69/8,502.90
  6. Step 6: Final answer
    x = 6,167.07

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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.