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Finding the Fourth Proportional to 8,032.95, 12,047.07 and 3,101.43

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Solution

The fourth proportional to 8,032.95, 12,047.07 and 3,101.43 is: 4,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.95 : 12,047.07 = 3,101.43 : x
  2. Step 2: Convert to fraction form
    8,032.95/12,047.07 = 3,101.43/x
  3. Step 3: Cross multiply
    8,032.95x = 12,047.07 × 3,101.43
  4. Step 4: Simplify right side
    8,032.95x = 37,363,144.31
  5. Step 5: Solve for x
    x = 37,363,144.31/8,032.95
  6. Step 6: Final answer
    x = 4,651.24

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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.