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Finding the Fourth Proportional to 5,969.11, 8,952.95 and 1,586.90

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Solution

The fourth proportional to 5,969.11, 8,952.95 and 1,586.90 is: 2,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.11 : 8,952.95 = 1,586.90 : x
  2. Step 2: Convert to fraction form
    5,969.11/8,952.95 = 1,586.90/x
  3. Step 3: Cross multiply
    5,969.11x = 8,952.95 × 1,586.90
  4. Step 4: Simplify right side
    5,969.11x = 14,207,436.36
  5. Step 5: Solve for x
    x = 14,207,436.36/5,969.11
  6. Step 6: Final answer
    x = 2,380.16

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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.